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Finding the Third Proportional to 681,487 and 1,069,113

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Solution

The third proportional to 681,487 and 1,069,113 is: 1,677,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,487 : 1,069,113 = 1,069,113 : x
  2. Step 2: Convert to fraction form
    681,487/1,069,113 = 1,069,113/x
  3. Step 3: Cross multiply
    681,487x = 1,069,113 × 1,069,113
  4. Step 4: Simplify right side
    681,487x = 1,143,002,606,769
  5. Step 5: Solve for x
    x = 1,143,002,606,769/681,487
  6. Step 6: Final answer
    x = 1,677,218.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.