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Finding the Third Proportional to 652,738 and 997,866

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Solution

The third proportional to 652,738 and 997,866 is: 1,525,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,738 : 997,866 = 997,866 : x
  2. Step 2: Convert to fraction form
    652,738/997,866 = 997,866/x
  3. Step 3: Cross multiply
    652,738x = 997,866 × 997,866
  4. Step 4: Simplify right side
    652,738x = 995,736,553,956
  5. Step 5: Solve for x
    x = 995,736,553,956/652,738
  6. Step 6: Final answer
    x = 1,525,476.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.