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Finding the Third Proportional to 656,820 and 1,418,424

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Solution

The third proportional to 656,820 and 1,418,424 is: 3,063,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,820 : 1,418,424 = 1,418,424 : x
  2. Step 2: Convert to fraction form
    656,820/1,418,424 = 1,418,424/x
  3. Step 3: Cross multiply
    656,820x = 1,418,424 × 1,418,424
  4. Step 4: Simplify right side
    656,820x = 2,011,926,643,776
  5. Step 5: Solve for x
    x = 2,011,926,643,776/656,820
  6. Step 6: Final answer
    x = 3,063,132.43

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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.