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Finding the Third Proportional to 448,416 and 984,204

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Solution

The third proportional to 448,416 and 984,204 is: 2,160,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,416 : 984,204 = 984,204 : x
  2. Step 2: Convert to fraction form
    448,416/984,204 = 984,204/x
  3. Step 3: Cross multiply
    448,416x = 984,204 × 984,204
  4. Step 4: Simplify right side
    448,416x = 968,657,513,616
  5. Step 5: Solve for x
    x = 968,657,513,616/448,416
  6. Step 6: Final answer
    x = 2,160,176.07

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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.