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Finding the Third Proportional to 1,157,623 and 2,481,367

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Solution

The third proportional to 1,157,623 and 2,481,367 is: 5,318,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,623 : 2,481,367 = 2,481,367 : x
  2. Step 2: Convert to fraction form
    1,157,623/2,481,367 = 2,481,367/x
  3. Step 3: Cross multiply
    1,157,623x = 2,481,367 × 2,481,367
  4. Step 4: Simplify right side
    1,157,623x = 6,157,182,188,689
  5. Step 5: Solve for x
    x = 6,157,182,188,689/1,157,623
  6. Step 6: Final answer
    x = 5,318,814.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.