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Finding the Third Proportional to 519,474 and 777,121

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Solution

The third proportional to 519,474 and 777,121 is: 1,162,554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,474 : 777,121 = 777,121 : x
  2. Step 2: Convert to fraction form
    519,474/777,121 = 777,121/x
  3. Step 3: Cross multiply
    519,474x = 777,121 × 777,121
  4. Step 4: Simplify right side
    519,474x = 603,917,048,641
  5. Step 5: Solve for x
    x = 603,917,048,641/519,474
  6. Step 6: Final answer
    x = 1,162,554.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.