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Finding the Third Proportional to 662,517 and 1,033,141.50

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Solution

The third proportional to 662,517 and 1,033,141.50 is: 1,611,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,517 : 1,033,141.50 = 1,033,141.50 : x
  2. Step 2: Convert to fraction form
    662,517/1,033,141.50 = 1,033,141.50/x
  3. Step 3: Cross multiply
    662,517x = 1,033,141.50 × 1,033,141.50
  4. Step 4: Simplify right side
    662,517x = 1,067,381,359,022.25
  5. Step 5: Solve for x
    x = 1,067,381,359,022.25/662,517
  6. Step 6: Final answer
    x = 1,611,100.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.