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Finding the Third Proportional to 680,742 and 1,480,860

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Solution

The third proportional to 680,742 and 1,480,860 is: 3,221,405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,742 : 1,480,860 = 1,480,860 : x
  2. Step 2: Convert to fraction form
    680,742/1,480,860 = 1,480,860/x
  3. Step 3: Cross multiply
    680,742x = 1,480,860 × 1,480,860
  4. Step 4: Simplify right side
    680,742x = 2,192,946,339,600
  5. Step 5: Solve for x
    x = 2,192,946,339,600/680,742
  6. Step 6: Final answer
    x = 3,221,405.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.