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Finding the Third Proportional to 777,834 and 1,167,483

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Solution

The third proportional to 777,834 and 1,167,483 is: 1,752,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,834 : 1,167,483 = 1,167,483 : x
  2. Step 2: Convert to fraction form
    777,834/1,167,483 = 1,167,483/x
  3. Step 3: Cross multiply
    777,834x = 1,167,483 × 1,167,483
  4. Step 4: Simplify right side
    777,834x = 1,363,016,555,289
  5. Step 5: Solve for x
    x = 1,363,016,555,289/777,834
  6. Step 6: Final answer
    x = 1,752,323.19

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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.