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Finding the Third Proportional to 447,640 and 961,538

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Solution

The third proportional to 447,640 and 961,538 is: 2,065,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,640 : 961,538 = 961,538 : x
  2. Step 2: Convert to fraction form
    447,640/961,538 = 961,538/x
  3. Step 3: Cross multiply
    447,640x = 961,538 × 961,538
  4. Step 4: Simplify right side
    447,640x = 924,555,325,444
  5. Step 5: Solve for x
    x = 924,555,325,444/447,640
  6. Step 6: Final answer
    x = 2,065,399.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.