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Finding the Third Proportional to 633,460 and 1,344,644

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Solution

The third proportional to 633,460 and 1,344,644 is: 2,854,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,460 : 1,344,644 = 1,344,644 : x
  2. Step 2: Convert to fraction form
    633,460/1,344,644 = 1,344,644/x
  3. Step 3: Cross multiply
    633,460x = 1,344,644 × 1,344,644
  4. Step 4: Simplify right side
    633,460x = 1,808,067,486,736
  5. Step 5: Solve for x
    x = 1,808,067,486,736/633,460
  6. Step 6: Final answer
    x = 2,854,272.55

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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.