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Finding the Third Proportional to 662,516 and 1,033,134

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Solution

The third proportional to 662,516 and 1,033,134 is: 1,611,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,516 : 1,033,134 = 1,033,134 : x
  2. Step 2: Convert to fraction form
    662,516/1,033,134 = 1,033,134/x
  3. Step 3: Cross multiply
    662,516x = 1,033,134 × 1,033,134
  4. Step 4: Simplify right side
    662,516x = 1,067,365,861,956
  5. Step 5: Solve for x
    x = 1,067,365,861,956/662,516
  6. Step 6: Final answer
    x = 1,611,079.37

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Why These Related Problems?

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