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Finding the Third Proportional to 3,569,904 and 5,438,448

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Solution

The third proportional to 3,569,904 and 5,438,448 is: 8,285,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569,904 : 5,438,448 = 5,438,448 : x
  2. Step 2: Convert to fraction form
    3,569,904/5,438,448 = 5,438,448/x
  3. Step 3: Cross multiply
    3,569,904x = 5,438,448 × 5,438,448
  4. Step 4: Simplify right side
    3,569,904x = 29,576,716,648,704
  5. Step 5: Solve for x
    x = 29,576,716,648,704/3,569,904
  6. Step 6: Final answer
    x = 8,285,017.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.