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Finding the Third Proportional to 649,113 and 1,407,711

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Solution

The third proportional to 649,113 and 1,407,711 is: 3,052,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,113 : 1,407,711 = 1,407,711 : x
  2. Step 2: Convert to fraction form
    649,113/1,407,711 = 1,407,711/x
  3. Step 3: Cross multiply
    649,113x = 1,407,711 × 1,407,711
  4. Step 4: Simplify right side
    649,113x = 1,981,650,259,521
  5. Step 5: Solve for x
    x = 1,981,650,259,521/649,113
  6. Step 6: Final answer
    x = 3,052,858.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.