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Finding the Third Proportional to 783,123 and 1,246,110

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Solution

The third proportional to 783,123 and 1,246,110 is: 1,982,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,123 : 1,246,110 = 1,246,110 : x
  2. Step 2: Convert to fraction form
    783,123/1,246,110 = 1,246,110/x
  3. Step 3: Cross multiply
    783,123x = 1,246,110 × 1,246,110
  4. Step 4: Simplify right side
    783,123x = 1,552,790,132,100
  5. Step 5: Solve for x
    x = 1,552,790,132,100/783,123
  6. Step 6: Final answer
    x = 1,982,817.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.