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Finding the Third Proportional to 448,616 and 984,420

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Solution

The third proportional to 448,616 and 984,420 is: 2,160,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,616 : 984,420 = 984,420 : x
  2. Step 2: Convert to fraction form
    448,616/984,420 = 984,420/x
  3. Step 3: Cross multiply
    448,616x = 984,420 × 984,420
  4. Step 4: Simplify right side
    448,616x = 969,082,736,400
  5. Step 5: Solve for x
    x = 969,082,736,400/448,616
  6. Step 6: Final answer
    x = 2,160,160.89

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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.