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Finding the Third Proportional to 676,857 and 1,011,882

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Solution

The third proportional to 676,857 and 1,011,882 is: 1,512,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,857 : 1,011,882 = 1,011,882 : x
  2. Step 2: Convert to fraction form
    676,857/1,011,882 = 1,011,882/x
  3. Step 3: Cross multiply
    676,857x = 1,011,882 × 1,011,882
  4. Step 4: Simplify right side
    676,857x = 1,023,905,181,924
  5. Step 5: Solve for x
    x = 1,023,905,181,924/676,857
  6. Step 6: Final answer
    x = 1,512,734.86

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