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Finding the Third Proportional to 713,781 and 1,545,174

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Solution

The third proportional to 713,781 and 1,545,174 is: 3,344,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,781 : 1,545,174 = 1,545,174 : x
  2. Step 2: Convert to fraction form
    713,781/1,545,174 = 1,545,174/x
  3. Step 3: Cross multiply
    713,781x = 1,545,174 × 1,545,174
  4. Step 4: Simplify right side
    713,781x = 2,387,562,690,276
  5. Step 5: Solve for x
    x = 2,387,562,690,276/713,781
  6. Step 6: Final answer
    x = 3,344,951.31

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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.