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Finding the Third Proportional to 676,970 and 1,486,793

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Solution

The third proportional to 676,970 and 1,486,793 is: 3,265,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,970 : 1,486,793 = 1,486,793 : x
  2. Step 2: Convert to fraction form
    676,970/1,486,793 = 1,486,793/x
  3. Step 3: Cross multiply
    676,970x = 1,486,793 × 1,486,793
  4. Step 4: Simplify right side
    676,970x = 2,210,553,424,849
  5. Step 5: Solve for x
    x = 2,210,553,424,849/676,970
  6. Step 6: Final answer
    x = 3,265,363.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.