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Finding the Third Proportional to 676,942 and 1,486,723

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Solution

The third proportional to 676,942 and 1,486,723 is: 3,265,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,942 : 1,486,723 = 1,486,723 : x
  2. Step 2: Convert to fraction form
    676,942/1,486,723 = 1,486,723/x
  3. Step 3: Cross multiply
    676,942x = 1,486,723 × 1,486,723
  4. Step 4: Simplify right side
    676,942x = 2,210,345,278,729
  5. Step 5: Solve for x
    x = 2,210,345,278,729/676,942
  6. Step 6: Final answer
    x = 3,265,191.52

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Why These Related Problems?

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