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Finding the Third Proportional to 1,002,641.06 and 2,165,087.81

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Solution

The third proportional to 1,002,641.06 and 2,165,087.81 is: 4,675,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,641.06 : 2,165,087.81 = 2,165,087.81 : x
  2. Step 2: Convert to fraction form
    1,002,641.06/2,165,087.81 = 2,165,087.81/x
  3. Step 3: Cross multiply
    1,002,641.06x = 2,165,087.81 × 2,165,087.81
  4. Step 4: Simplify right side
    1,002,641.06x = 4,687,605,235,836.04
  5. Step 5: Solve for x
    x = 4,687,605,235,836.04/1,002,641.06
  6. Step 6: Final answer
    x = 4,675,257.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.