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Finding the Third Proportional to 371,682 and 814,536

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Solution

The third proportional to 371,682 and 814,536 is: 1,785,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,682 : 814,536 = 814,536 : x
  2. Step 2: Convert to fraction form
    371,682/814,536 = 814,536/x
  3. Step 3: Cross multiply
    371,682x = 814,536 × 814,536
  4. Step 4: Simplify right side
    371,682x = 663,468,895,296
  5. Step 5: Solve for x
    x = 663,468,895,296/371,682
  6. Step 6: Final answer
    x = 1,785,044.46

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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.