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Finding the Third Proportional to 639,123.75 and 1,392,644.25

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Solution

The third proportional to 639,123.75 and 1,392,644.25 is: 3,034,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,123.75 : 1,392,644.25 = 1,392,644.25 : x
  2. Step 2: Convert to fraction form
    639,123.75/1,392,644.25 = 1,392,644.25/x
  3. Step 3: Cross multiply
    639,123.75x = 1,392,644.25 × 1,392,644.25
  4. Step 4: Simplify right side
    639,123.75x = 1,939,458,007,058.06
  5. Step 5: Solve for x
    x = 1,939,458,007,058.06/639,123.75
  6. Step 6: Final answer
    x = 3,034,557.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.