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Finding the Third Proportional to 591,271 and 913,149

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Solution

The third proportional to 591,271 and 913,149 is: 1,410,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,271 : 913,149 = 913,149 : x
  2. Step 2: Convert to fraction form
    591,271/913,149 = 913,149/x
  3. Step 3: Cross multiply
    591,271x = 913,149 × 913,149
  4. Step 4: Simplify right side
    591,271x = 833,841,096,201
  5. Step 5: Solve for x
    x = 833,841,096,201/591,271
  6. Step 6: Final answer
    x = 1,410,251.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.