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Finding the Third Proportional to 416,969 and 913,720

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Solution

The third proportional to 416,969 and 913,720 is: 2,002,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,969 : 913,720 = 913,720 : x
  2. Step 2: Convert to fraction form
    416,969/913,720 = 913,720/x
  3. Step 3: Cross multiply
    416,969x = 913,720 × 913,720
  4. Step 4: Simplify right side
    416,969x = 834,884,238,400
  5. Step 5: Solve for x
    x = 834,884,238,400/416,969
  6. Step 6: Final answer
    x = 2,002,269.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.