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Finding the Third Proportional to 710,397 and 1,086,741

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Solution

The third proportional to 710,397 and 1,086,741 is: 1,662,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,397 : 1,086,741 = 1,086,741 : x
  2. Step 2: Convert to fraction form
    710,397/1,086,741 = 1,086,741/x
  3. Step 3: Cross multiply
    710,397x = 1,086,741 × 1,086,741
  4. Step 4: Simplify right side
    710,397x = 1,181,006,001,081
  5. Step 5: Solve for x
    x = 1,181,006,001,081/710,397
  6. Step 6: Final answer
    x = 1,662,459.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.