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Finding the Third Proportional to 811,552.50 and 1,266,456

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Solution

The third proportional to 811,552.50 and 1,266,456 is: 1,976,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,552.50 : 1,266,456 = 1,266,456 : x
  2. Step 2: Convert to fraction form
    811,552.50/1,266,456 = 1,266,456/x
  3. Step 3: Cross multiply
    811,552.50x = 1,266,456 × 1,266,456
  4. Step 4: Simplify right side
    811,552.50x = 1,603,910,799,936
  5. Step 5: Solve for x
    x = 1,603,910,799,936/811,552.50
  6. Step 6: Final answer
    x = 1,976,348.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.