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Finding the Third Proportional to 639,523 and 1,367,661

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Solution

The third proportional to 639,523 and 1,367,661 is: 2,924,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,523 : 1,367,661 = 1,367,661 : x
  2. Step 2: Convert to fraction form
    639,523/1,367,661 = 1,367,661/x
  3. Step 3: Cross multiply
    639,523x = 1,367,661 × 1,367,661
  4. Step 4: Simplify right side
    639,523x = 1,870,496,610,921
  5. Step 5: Solve for x
    x = 1,870,496,610,921/639,523
  6. Step 6: Final answer
    x = 2,924,830.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.