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Finding the Third Proportional to 715,861.13 and 1,001,349.38

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Solution

The third proportional to 715,861.13 and 1,001,349.38 is: 1,400,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,861.13 : 1,001,349.38 = 1,001,349.38 : x
  2. Step 2: Convert to fraction form
    715,861.13/1,001,349.38 = 1,001,349.38/x
  3. Step 3: Cross multiply
    715,861.13x = 1,001,349.38 × 1,001,349.38
  4. Step 4: Simplify right side
    715,861.13x = 1,002,700,570,812.89
  5. Step 5: Solve for x
    x = 1,002,700,570,812.89/715,861.13
  6. Step 6: Final answer
    x = 1,400,691.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.