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Finding the Third Proportional to 382,866 and 841,791

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Solution

The third proportional to 382,866 and 841,791 is: 1,850,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,866 : 841,791 = 841,791 : x
  2. Step 2: Convert to fraction form
    382,866/841,791 = 841,791/x
  3. Step 3: Cross multiply
    382,866x = 841,791 × 841,791
  4. Step 4: Simplify right side
    382,866x = 708,612,087,681
  5. Step 5: Solve for x
    x = 708,612,087,681/382,866
  6. Step 6: Final answer
    x = 1,850,809.65

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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.