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Finding the Third Proportional to 1,041,498 and 2,165,922

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Solution

The third proportional to 1,041,498 and 2,165,922 is: 4,504,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,498 : 2,165,922 = 2,165,922 : x
  2. Step 2: Convert to fraction form
    1,041,498/2,165,922 = 2,165,922/x
  3. Step 3: Cross multiply
    1,041,498x = 2,165,922 × 2,165,922
  4. Step 4: Simplify right side
    1,041,498x = 4,691,218,110,084
  5. Step 5: Solve for x
    x = 4,691,218,110,084/1,041,498
  6. Step 6: Final answer
    x = 4,504,298.72

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.