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Finding the Third Proportional to 663,651 and 1,414,170

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Solution

The third proportional to 663,651 and 1,414,170 is: 3,013,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,651 : 1,414,170 = 1,414,170 : x
  2. Step 2: Convert to fraction form
    663,651/1,414,170 = 1,414,170/x
  3. Step 3: Cross multiply
    663,651x = 1,414,170 × 1,414,170
  4. Step 4: Simplify right side
    663,651x = 1,999,876,788,900
  5. Step 5: Solve for x
    x = 1,999,876,788,900/663,651
  6. Step 6: Final answer
    x = 3,013,446.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.