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Finding the Third Proportional to 486,598 and 1,067,922

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Solution

The third proportional to 486,598 and 1,067,922 is: 2,343,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,598 : 1,067,922 = 1,067,922 : x
  2. Step 2: Convert to fraction form
    486,598/1,067,922 = 1,067,922/x
  3. Step 3: Cross multiply
    486,598x = 1,067,922 × 1,067,922
  4. Step 4: Simplify right side
    486,598x = 1,140,457,398,084
  5. Step 5: Solve for x
    x = 1,140,457,398,084/486,598
  6. Step 6: Final answer
    x = 2,343,736.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.