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Finding the Third Proportional to 827,612 and 1,777,706

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Solution

The third proportional to 827,612 and 1,777,706 is: 3,818,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,612 : 1,777,706 = 1,777,706 : x
  2. Step 2: Convert to fraction form
    827,612/1,777,706 = 1,777,706/x
  3. Step 3: Cross multiply
    827,612x = 1,777,706 × 1,777,706
  4. Step 4: Simplify right side
    827,612x = 3,160,238,622,436
  5. Step 5: Solve for x
    x = 3,160,238,622,436/827,612
  6. Step 6: Final answer
    x = 3,818,502.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.