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Finding the Third Proportional to 624,132 and 1,344,398

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Solution

The third proportional to 624,132 and 1,344,398 is: 2,895,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,132 : 1,344,398 = 1,344,398 : x
  2. Step 2: Convert to fraction form
    624,132/1,344,398 = 1,344,398/x
  3. Step 3: Cross multiply
    624,132x = 1,344,398 × 1,344,398
  4. Step 4: Simplify right side
    624,132x = 1,807,405,982,404
  5. Step 5: Solve for x
    x = 1,807,405,982,404/624,132
  6. Step 6: Final answer
    x = 2,895,871.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.