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Finding the Third Proportional to 447,648 and 961,554

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Solution

The third proportional to 447,648 and 961,554 is: 2,065,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,648 : 961,554 = 961,554 : x
  2. Step 2: Convert to fraction form
    447,648/961,554 = 961,554/x
  3. Step 3: Cross multiply
    447,648x = 961,554 × 961,554
  4. Step 4: Simplify right side
    447,648x = 924,586,094,916
  5. Step 5: Solve for x
    x = 924,586,094,916/447,648
  6. Step 6: Final answer
    x = 2,065,431.09

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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.