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Finding the Third Proportional to 3,138,689 and 4,442,464

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Solution

The third proportional to 3,138,689 and 4,442,464 is: 6,287,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,689 : 4,442,464 = 4,442,464 : x
  2. Step 2: Convert to fraction form
    3,138,689/4,442,464 = 4,442,464/x
  3. Step 3: Cross multiply
    3,138,689x = 4,442,464 × 4,442,464
  4. Step 4: Simplify right side
    3,138,689x = 19,735,486,391,296
  5. Step 5: Solve for x
    x = 19,735,486,391,296/3,138,689
  6. Step 6: Final answer
    x = 6,287,812.01

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.