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Finding the Third Proportional to 666,934 and 1,034,254

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Solution

The third proportional to 666,934 and 1,034,254 is: 1,603,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,934 : 1,034,254 = 1,034,254 : x
  2. Step 2: Convert to fraction form
    666,934/1,034,254 = 1,034,254/x
  3. Step 3: Cross multiply
    666,934x = 1,034,254 × 1,034,254
  4. Step 4: Simplify right side
    666,934x = 1,069,681,336,516
  5. Step 5: Solve for x
    x = 1,069,681,336,516/666,934
  6. Step 6: Final answer
    x = 1,603,878.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.