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Finding the Third Proportional to 752,762 and 1,657,156

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Solution

The third proportional to 752,762 and 1,657,156 is: 3,648,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,762 : 1,657,156 = 1,657,156 : x
  2. Step 2: Convert to fraction form
    752,762/1,657,156 = 1,657,156/x
  3. Step 3: Cross multiply
    752,762x = 1,657,156 × 1,657,156
  4. Step 4: Simplify right side
    752,762x = 2,746,166,008,336
  5. Step 5: Solve for x
    x = 2,746,166,008,336/752,762
  6. Step 6: Final answer
    x = 3,648,119.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.