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Finding the Third Proportional to 412,539 and 850,776

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Solution

The third proportional to 412,539 and 850,776 is: 1,754,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,539 : 850,776 = 850,776 : x
  2. Step 2: Convert to fraction form
    412,539/850,776 = 850,776/x
  3. Step 3: Cross multiply
    412,539x = 850,776 × 850,776
  4. Step 4: Simplify right side
    412,539x = 723,819,802,176
  5. Step 5: Solve for x
    x = 723,819,802,176/412,539
  6. Step 6: Final answer
    x = 1,754,548.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.