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Finding the Third Proportional to 713,665 and 1,538,737

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Solution

The third proportional to 713,665 and 1,538,737 is: 3,317,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,665 : 1,538,737 = 1,538,737 : x
  2. Step 2: Convert to fraction form
    713,665/1,538,737 = 1,538,737/x
  3. Step 3: Cross multiply
    713,665x = 1,538,737 × 1,538,737
  4. Step 4: Simplify right side
    713,665x = 2,367,711,555,169
  5. Step 5: Solve for x
    x = 2,367,711,555,169/713,665
  6. Step 6: Final answer
    x = 3,317,679.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.