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Finding the Third Proportional to 763,113 and 1,659,086

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Solution

The third proportional to 763,113 and 1,659,086 is: 3,607,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,113 : 1,659,086 = 1,659,086 : x
  2. Step 2: Convert to fraction form
    763,113/1,659,086 = 1,659,086/x
  3. Step 3: Cross multiply
    763,113x = 1,659,086 × 1,659,086
  4. Step 4: Simplify right side
    763,113x = 2,752,566,355,396
  5. Step 5: Solve for x
    x = 2,752,566,355,396/763,113
  6. Step 6: Final answer
    x = 3,607,023.28

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Why These Related Problems?

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