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Finding the Third Proportional to 741,012 and 1,148,126

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Solution

The third proportional to 741,012 and 1,148,126 is: 1,778,909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,012 : 1,148,126 = 1,148,126 : x
  2. Step 2: Convert to fraction form
    741,012/1,148,126 = 1,148,126/x
  3. Step 3: Cross multiply
    741,012x = 1,148,126 × 1,148,126
  4. Step 4: Simplify right side
    741,012x = 1,318,193,311,876
  5. Step 5: Solve for x
    x = 1,318,193,311,876/741,012
  6. Step 6: Final answer
    x = 1,778,909.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.