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Finding the Third Proportional to 681,088 and 1,031,112

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Solution

The third proportional to 681,088 and 1,031,112 is: 1,561,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,088 : 1,031,112 = 1,031,112 : x
  2. Step 2: Convert to fraction form
    681,088/1,031,112 = 1,031,112/x
  3. Step 3: Cross multiply
    681,088x = 1,031,112 × 1,031,112
  4. Step 4: Simplify right side
    681,088x = 1,063,191,956,544
  5. Step 5: Solve for x
    x = 1,063,191,956,544/681,088
  6. Step 6: Final answer
    x = 1,561,019.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.