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Finding the Third Proportional to 814,060.13 and 1,718,425.13

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Solution

The third proportional to 814,060.13 and 1,718,425.13 is: 3,627,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,060.13 : 1,718,425.13 = 1,718,425.13 : x
  2. Step 2: Convert to fraction form
    814,060.13/1,718,425.13 = 1,718,425.13/x
  3. Step 3: Cross multiply
    814,060.13x = 1,718,425.13 × 1,718,425.13
  4. Step 4: Simplify right side
    814,060.13x = 2,952,984,910,231.27
  5. Step 5: Solve for x
    x = 2,952,984,910,231.27/814,060.13
  6. Step 6: Final answer
    x = 3,627,477.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.