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Finding the Third Proportional to 681,719 and 1,468,090

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Solution

The third proportional to 681,719 and 1,468,090 is: 3,161,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,719 : 1,468,090 = 1,468,090 : x
  2. Step 2: Convert to fraction form
    681,719/1,468,090 = 1,468,090/x
  3. Step 3: Cross multiply
    681,719x = 1,468,090 × 1,468,090
  4. Step 4: Simplify right side
    681,719x = 2,155,288,248,100
  5. Step 5: Solve for x
    x = 2,155,288,248,100/681,719
  6. Step 6: Final answer
    x = 3,161,549.33

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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.