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Finding the Third Proportional to 541,802 and 1,183,540

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Solution

The third proportional to 541,802 and 1,183,540 is: 2,585,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,802 : 1,183,540 = 1,183,540 : x
  2. Step 2: Convert to fraction form
    541,802/1,183,540 = 1,183,540/x
  3. Step 3: Cross multiply
    541,802x = 1,183,540 × 1,183,540
  4. Step 4: Simplify right side
    541,802x = 1,400,766,931,600
  5. Step 5: Solve for x
    x = 1,400,766,931,600/541,802
  6. Step 6: Final answer
    x = 2,585,385.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.