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Finding the Third Proportional to 676,863 and 1,015,439

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Solution

The third proportional to 676,863 and 1,015,439 is: 1,523,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,863 : 1,015,439 = 1,015,439 : x
  2. Step 2: Convert to fraction form
    676,863/1,015,439 = 1,015,439/x
  3. Step 3: Cross multiply
    676,863x = 1,015,439 × 1,015,439
  4. Step 4: Simplify right side
    676,863x = 1,031,116,362,721
  5. Step 5: Solve for x
    x = 1,031,116,362,721/676,863
  6. Step 6: Final answer
    x = 1,523,375.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.