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Finding the Third Proportional to 376,587 and 827,808

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Solution

The third proportional to 376,587 and 827,808 is: 1,819,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,587 : 827,808 = 827,808 : x
  2. Step 2: Convert to fraction form
    376,587/827,808 = 827,808/x
  3. Step 3: Cross multiply
    376,587x = 827,808 × 827,808
  4. Step 4: Simplify right side
    376,587x = 685,266,084,864
  5. Step 5: Solve for x
    x = 685,266,084,864/376,587
  6. Step 6: Final answer
    x = 1,819,675.36

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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.