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Finding the Third Proportional to 4,342,581 and 5,789,448

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Solution

The third proportional to 4,342,581 and 5,789,448 is: 7,718,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342,581 : 5,789,448 = 5,789,448 : x
  2. Step 2: Convert to fraction form
    4,342,581/5,789,448 = 5,789,448/x
  3. Step 3: Cross multiply
    4,342,581x = 5,789,448 × 5,789,448
  4. Step 4: Simplify right side
    4,342,581x = 33,517,708,144,704
  5. Step 5: Solve for x
    x = 33,517,708,144,704/4,342,581
  6. Step 6: Final answer
    x = 7,718,384.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.