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Finding the Third Proportional to 1,335,502.13 and 3,149,456.06

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Solution

The third proportional to 1,335,502.13 and 3,149,456.06 is: 7,427,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,502.13 : 3,149,456.06 = 3,149,456.06 : x
  2. Step 2: Convert to fraction form
    1,335,502.13/3,149,456.06 = 3,149,456.06/x
  3. Step 3: Cross multiply
    1,335,502.13x = 3,149,456.06 × 3,149,456.06
  4. Step 4: Simplify right side
    1,335,502.13x = 9,919,073,489,618.00
  5. Step 5: Solve for x
    x = 9,919,073,489,618.00/1,335,502.13
  6. Step 6: Final answer
    x = 7,427,224.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.