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Finding the Third Proportional to 457,579,159.50 and 1,000,720,315.50

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Solution

The third proportional to 457,579,159.50 and 1,000,720,315.50 is: 2,188,563,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,579,159.50 : 1,000,720,315.50 = 1,000,720,315.50 : x
  2. Step 2: Convert to fraction form
    457,579,159.50/1,000,720,315.50 = 1,000,720,315.50/x
  3. Step 3: Cross multiply
    457,579,159.50x = 1,000,720,315.50 × 1,000,720,315.50
  4. Step 4: Simplify right side
    457,579,159.50x = 1,001,441,149,854,419,584
  5. Step 5: Solve for x
    x = 1,001,441,149,854,419,584/457,579,159.50
  6. Step 6: Final answer
    x = 2,188,563,725.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.