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Finding the Third Proportional to 376,537 and 827,706

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Solution

The third proportional to 376,537 and 827,706 is: 1,819,468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,537 : 827,706 = 827,706 : x
  2. Step 2: Convert to fraction form
    376,537/827,706 = 827,706/x
  3. Step 3: Cross multiply
    376,537x = 827,706 × 827,706
  4. Step 4: Simplify right side
    376,537x = 685,097,222,436
  5. Step 5: Solve for x
    x = 685,097,222,436/376,537
  6. Step 6: Final answer
    x = 1,819,468.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.