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Finding the Third Proportional to 656,742 and 1,418,266

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Solution

The third proportional to 656,742 and 1,418,266 is: 3,062,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,742 : 1,418,266 = 1,418,266 : x
  2. Step 2: Convert to fraction form
    656,742/1,418,266 = 1,418,266/x
  3. Step 3: Cross multiply
    656,742x = 1,418,266 × 1,418,266
  4. Step 4: Simplify right side
    656,742x = 2,011,478,446,756
  5. Step 5: Solve for x
    x = 2,011,478,446,756/656,742
  6. Step 6: Final answer
    x = 3,062,813.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.