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Finding the Third Proportional to 666,976 and 998,630

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Solution

The third proportional to 666,976 and 998,630 is: 1,495,199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,976 : 998,630 = 998,630 : x
  2. Step 2: Convert to fraction form
    666,976/998,630 = 998,630/x
  3. Step 3: Cross multiply
    666,976x = 998,630 × 998,630
  4. Step 4: Simplify right side
    666,976x = 997,261,876,900
  5. Step 5: Solve for x
    x = 997,261,876,900/666,976
  6. Step 6: Final answer
    x = 1,495,199.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.