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Finding the Third Proportional to 633,468 and 1,344,660

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Solution

The third proportional to 633,468 and 1,344,660 is: 2,854,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,468 : 1,344,660 = 1,344,660 : x
  2. Step 2: Convert to fraction form
    633,468/1,344,660 = 1,344,660/x
  3. Step 3: Cross multiply
    633,468x = 1,344,660 × 1,344,660
  4. Step 4: Simplify right side
    633,468x = 1,808,110,515,600
  5. Step 5: Solve for x
    x = 1,808,110,515,600/633,468
  6. Step 6: Final answer
    x = 2,854,304.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.