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Finding the Third Proportional to 656,749 and 1,418,282

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Solution

The third proportional to 656,749 and 1,418,282 is: 3,062,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,749 : 1,418,282 = 1,418,282 : x
  2. Step 2: Convert to fraction form
    656,749/1,418,282 = 1,418,282/x
  3. Step 3: Cross multiply
    656,749x = 1,418,282 × 1,418,282
  4. Step 4: Simplify right side
    656,749x = 2,011,523,831,524
  5. Step 5: Solve for x
    x = 2,011,523,831,524/656,749
  6. Step 6: Final answer
    x = 3,062,850.24

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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.