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Finding the Third Proportional to 644,304.38 and 1,455,686.44

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Solution

The third proportional to 644,304.38 and 1,455,686.44 is: 3,288,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,304.38 : 1,455,686.44 = 1,455,686.44 : x
  2. Step 2: Convert to fraction form
    644,304.38/1,455,686.44 = 1,455,686.44/x
  3. Step 3: Cross multiply
    644,304.38x = 1,455,686.44 × 1,455,686.44
  4. Step 4: Simplify right side
    644,304.38x = 2,119,023,004,321.44
  5. Step 5: Solve for x
    x = 2,119,023,004,321.44/644,304.38
  6. Step 6: Final answer
    x = 3,288,853.97

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.