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Finding the Third Proportional to 375,857 and 819,549

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Solution

The third proportional to 375,857 and 819,549 is: 1,787,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,857 : 819,549 = 819,549 : x
  2. Step 2: Convert to fraction form
    375,857/819,549 = 819,549/x
  3. Step 3: Cross multiply
    375,857x = 819,549 × 819,549
  4. Step 4: Simplify right side
    375,857x = 671,660,563,401
  5. Step 5: Solve for x
    x = 671,660,563,401/375,857
  6. Step 6: Final answer
    x = 1,787,010.92

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Why These Related Problems?

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