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Finding the Third Proportional to 656,754 and 1,418,500

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Solution

The third proportional to 656,754 and 1,418,500 is: 3,063,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,754 : 1,418,500 = 1,418,500 : x
  2. Step 2: Convert to fraction form
    656,754/1,418,500 = 1,418,500/x
  3. Step 3: Cross multiply
    656,754x = 1,418,500 × 1,418,500
  4. Step 4: Simplify right side
    656,754x = 2,012,142,250,000
  5. Step 5: Solve for x
    x = 2,012,142,250,000/656,754
  6. Step 6: Final answer
    x = 3,063,768.55

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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.