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Finding the Third Proportional to 851,393 and 1,862,599

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Solution

The third proportional to 851,393 and 1,862,599 is: 4,074,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,393 : 1,862,599 = 1,862,599 : x
  2. Step 2: Convert to fraction form
    851,393/1,862,599 = 1,862,599/x
  3. Step 3: Cross multiply
    851,393x = 1,862,599 × 1,862,599
  4. Step 4: Simplify right side
    851,393x = 3,469,275,034,801
  5. Step 5: Solve for x
    x = 3,469,275,034,801/851,393
  6. Step 6: Final answer
    x = 4,074,822.13

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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.