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Finding the Third Proportional to 752,482 and 1,607,023

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Solution

The third proportional to 752,482 and 1,607,023 is: 3,432,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,482 : 1,607,023 = 1,607,023 : x
  2. Step 2: Convert to fraction form
    752,482/1,607,023 = 1,607,023/x
  3. Step 3: Cross multiply
    752,482x = 1,607,023 × 1,607,023
  4. Step 4: Simplify right side
    752,482x = 2,582,522,922,529
  5. Step 5: Solve for x
    x = 2,582,522,922,529/752,482
  6. Step 6: Final answer
    x = 3,432,006.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.