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Finding the Third Proportional to 448,882.88 and 984,975.75

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Solution

The third proportional to 448,882.88 and 984,975.75 is: 2,161,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,882.88 : 984,975.75 = 984,975.75 : x
  2. Step 2: Convert to fraction form
    448,882.88/984,975.75 = 984,975.75/x
  3. Step 3: Cross multiply
    448,882.88x = 984,975.75 × 984,975.75
  4. Step 4: Simplify right side
    448,882.88x = 970,177,228,088.06
  5. Step 5: Solve for x
    x = 970,177,228,088.06/448,882.88
  6. Step 6: Final answer
    x = 2,161,314.86

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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.