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Finding the Third Proportional to 985,732 and 1,491,750

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Solution

The third proportional to 985,732 and 1,491,750 is: 2,257,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,732 : 1,491,750 = 1,491,750 : x
  2. Step 2: Convert to fraction form
    985,732/1,491,750 = 1,491,750/x
  3. Step 3: Cross multiply
    985,732x = 1,491,750 × 1,491,750
  4. Step 4: Simplify right side
    985,732x = 2,225,318,062,500
  5. Step 5: Solve for x
    x = 2,225,318,062,500/985,732
  6. Step 6: Final answer
    x = 2,257,528.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.