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Finding the Third Proportional to 652,182 and 857,616

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Solution

The third proportional to 652,182 and 857,616 is: 1,127,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,182 : 857,616 = 857,616 : x
  2. Step 2: Convert to fraction form
    652,182/857,616 = 857,616/x
  3. Step 3: Cross multiply
    652,182x = 857,616 × 857,616
  4. Step 4: Simplify right side
    652,182x = 735,505,203,456
  5. Step 5: Solve for x
    x = 735,505,203,456/652,182
  6. Step 6: Final answer
    x = 1,127,760.66

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.