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Finding the Third Proportional to 2,025,320.50 and 4,780,962.50

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Solution

The third proportional to 2,025,320.50 and 4,780,962.50 is: 11,285,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,320.50 : 4,780,962.50 = 4,780,962.50 : x
  2. Step 2: Convert to fraction form
    2,025,320.50/4,780,962.50 = 4,780,962.50/x
  3. Step 3: Cross multiply
    2,025,320.50x = 4,780,962.50 × 4,780,962.50
  4. Step 4: Simplify right side
    2,025,320.50x = 22,857,602,426,406.25
  5. Step 5: Solve for x
    x = 22,857,602,426,406.25/2,025,320.50
  6. Step 6: Final answer
    x = 11,285,918.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.