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Finding the Third Proportional to 639,357 and 954,657

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Solution

The third proportional to 639,357 and 954,657 is: 1,425,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,357 : 954,657 = 954,657 : x
  2. Step 2: Convert to fraction form
    639,357/954,657 = 954,657/x
  3. Step 3: Cross multiply
    639,357x = 954,657 × 954,657
  4. Step 4: Simplify right side
    639,357x = 911,369,987,649
  5. Step 5: Solve for x
    x = 911,369,987,649/639,357
  6. Step 6: Final answer
    x = 1,425,447.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.