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Finding the Third Proportional to 669,658.22 and 1,472,176.69

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Solution

The third proportional to 669,658.22 and 1,472,176.69 is: 3,236,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,658.22 : 1,472,176.69 = 1,472,176.69 : x
  2. Step 2: Convert to fraction form
    669,658.22/1,472,176.69 = 1,472,176.69/x
  3. Step 3: Cross multiply
    669,658.22x = 1,472,176.69 × 1,472,176.69
  4. Step 4: Simplify right side
    669,658.22x = 2,167,304,199,218.47
  5. Step 5: Solve for x
    x = 2,167,304,199,218.47/669,658.22
  6. Step 6: Final answer
    x = 3,236,433.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.