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Finding the Third Proportional to 752,176 and 1,566,564

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Solution

The third proportional to 752,176 and 1,566,564 is: 3,262,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,176 : 1,566,564 = 1,566,564 : x
  2. Step 2: Convert to fraction form
    752,176/1,566,564 = 1,566,564/x
  3. Step 3: Cross multiply
    752,176x = 1,566,564 × 1,566,564
  4. Step 4: Simplify right side
    752,176x = 2,454,122,766,096
  5. Step 5: Solve for x
    x = 2,454,122,766,096/752,176
  6. Step 6: Final answer
    x = 3,262,697.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.