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Finding the Third Proportional to 1,561,319.30 and 3,614,229.49

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Solution

The third proportional to 1,561,319.30 and 3,614,229.49 is: 8,366,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,319.30 : 3,614,229.49 = 3,614,229.49 : x
  2. Step 2: Convert to fraction form
    1,561,319.30/3,614,229.49 = 3,614,229.49/x
  3. Step 3: Cross multiply
    1,561,319.30x = 3,614,229.49 × 3,614,229.49
  4. Step 4: Simplify right side
    1,561,319.30x = 13,062,654,822,197.91
  5. Step 5: Solve for x
    x = 13,062,654,822,197.91/1,561,319.30
  6. Step 6: Final answer
    x = 8,366,421.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.