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Finding the Third Proportional to 741,026 and 1,148,149

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Solution

The third proportional to 741,026 and 1,148,149 is: 1,778,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,026 : 1,148,149 = 1,148,149 : x
  2. Step 2: Convert to fraction form
    741,026/1,148,149 = 1,148,149/x
  3. Step 3: Cross multiply
    741,026x = 1,148,149 × 1,148,149
  4. Step 4: Simplify right side
    741,026x = 1,318,246,126,201
  5. Step 5: Solve for x
    x = 1,318,246,126,201/741,026
  6. Step 6: Final answer
    x = 1,778,947.20

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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.