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Finding the Third Proportional to 1,003,694 and 2,164,996

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Solution

The third proportional to 1,003,694 and 2,164,996 is: 4,669,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,694 : 2,164,996 = 2,164,996 : x
  2. Step 2: Convert to fraction form
    1,003,694/2,164,996 = 2,164,996/x
  3. Step 3: Cross multiply
    1,003,694x = 2,164,996 × 2,164,996
  4. Step 4: Simplify right side
    1,003,694x = 4,687,207,680,016
  5. Step 5: Solve for x
    x = 4,687,207,680,016/1,003,694
  6. Step 6: Final answer
    x = 4,669,956.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.