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Finding the Third Proportional to 588,841.13 and 1,293,805.13

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Solution

The third proportional to 588,841.13 and 1,293,805.13 is: 2,842,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,841.13 : 1,293,805.13 = 1,293,805.13 : x
  2. Step 2: Convert to fraction form
    588,841.13/1,293,805.13 = 1,293,805.13/x
  3. Step 3: Cross multiply
    588,841.13x = 1,293,805.13 × 1,293,805.13
  4. Step 4: Simplify right side
    588,841.13x = 1,673,931,701,476.27
  5. Step 5: Solve for x
    x = 1,673,931,701,476.27/588,841.13
  6. Step 6: Final answer
    x = 2,842,756.10

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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.