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Finding the Third Proportional to 393,612 and 862,878

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Solution

The third proportional to 393,612 and 862,878 is: 1,891,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,612 : 862,878 = 862,878 : x
  2. Step 2: Convert to fraction form
    393,612/862,878 = 862,878/x
  3. Step 3: Cross multiply
    393,612x = 862,878 × 862,878
  4. Step 4: Simplify right side
    393,612x = 744,558,442,884
  5. Step 5: Solve for x
    x = 744,558,442,884/393,612
  6. Step 6: Final answer
    x = 1,891,605.04

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Why These Related Problems?

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