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Finding the Third Proportional to 1,033,566 and 2,216,568

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Solution

The third proportional to 1,033,566 and 2,216,568 is: 4,753,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,566 : 2,216,568 = 2,216,568 : x
  2. Step 2: Convert to fraction form
    1,033,566/2,216,568 = 2,216,568/x
  3. Step 3: Cross multiply
    1,033,566x = 2,216,568 × 2,216,568
  4. Step 4: Simplify right side
    1,033,566x = 4,913,173,698,624
  5. Step 5: Solve for x
    x = 4,913,173,698,624/1,033,566
  6. Step 6: Final answer
    x = 4,753,613.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.