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Finding the Third Proportional to 447,084 and 970,380

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Solution

The third proportional to 447,084 and 970,380 is: 2,106,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,084 : 970,380 = 970,380 : x
  2. Step 2: Convert to fraction form
    447,084/970,380 = 970,380/x
  3. Step 3: Cross multiply
    447,084x = 970,380 × 970,380
  4. Step 4: Simplify right side
    447,084x = 941,637,344,400
  5. Step 5: Solve for x
    x = 941,637,344,400/447,084
  6. Step 6: Final answer
    x = 2,106,175.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.