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Finding the Third Proportional to 588,829.13 and 1,293,781.13

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Solution

The third proportional to 588,829.13 and 1,293,781.13 is: 2,842,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,829.13 : 1,293,781.13 = 1,293,781.13 : x
  2. Step 2: Convert to fraction form
    588,829.13/1,293,781.13 = 1,293,781.13/x
  3. Step 3: Cross multiply
    588,829.13x = 1,293,781.13 × 1,293,781.13
  4. Step 4: Simplify right side
    588,829.13x = 1,673,869,599,406.27
  5. Step 5: Solve for x
    x = 1,673,869,599,406.27/588,829.13
  6. Step 6: Final answer
    x = 2,842,708.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.