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Finding the Third Proportional to 656,760 and 1,418,304

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Solution

The third proportional to 656,760 and 1,418,304 is: 3,062,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,760 : 1,418,304 = 1,418,304 : x
  2. Step 2: Convert to fraction form
    656,760/1,418,304 = 1,418,304/x
  3. Step 3: Cross multiply
    656,760x = 1,418,304 × 1,418,304
  4. Step 4: Simplify right side
    656,760x = 2,011,586,236,416
  5. Step 5: Solve for x
    x = 2,011,586,236,416/656,760
  6. Step 6: Final answer
    x = 3,062,893.96

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Why These Related Problems?

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