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Finding the Third Proportional to 681,726 and 1,468,102

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Solution

The third proportional to 681,726 and 1,468,102 is: 3,161,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,726 : 1,468,102 = 1,468,102 : x
  2. Step 2: Convert to fraction form
    681,726/1,468,102 = 1,468,102/x
  3. Step 3: Cross multiply
    681,726x = 1,468,102 × 1,468,102
  4. Step 4: Simplify right side
    681,726x = 2,155,323,482,404
  5. Step 5: Solve for x
    x = 2,155,323,482,404/681,726
  6. Step 6: Final answer
    x = 3,161,568.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.