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Finding the Third Proportional to 752,272.31 and 1,466,867.81

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Solution

The third proportional to 752,272.31 and 1,466,867.81 is: 2,860,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,272.31 : 1,466,867.81 = 1,466,867.81 : x
  2. Step 2: Convert to fraction form
    752,272.31/1,466,867.81 = 1,466,867.81/x
  3. Step 3: Cross multiply
    752,272.31x = 1,466,867.81 × 1,466,867.81
  4. Step 4: Simplify right side
    752,272.31x = 2,151,701,179,348.54
  5. Step 5: Solve for x
    x = 2,151,701,179,348.54/752,272.31
  6. Step 6: Final answer
    x = 2,860,269.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.