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Finding the Third Proportional to 454,536 and 984,294

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Solution

The third proportional to 454,536 and 984,294 is: 2,131,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,536 : 984,294 = 984,294 : x
  2. Step 2: Convert to fraction form
    454,536/984,294 = 984,294/x
  3. Step 3: Cross multiply
    454,536x = 984,294 × 984,294
  4. Step 4: Simplify right side
    454,536x = 968,834,678,436
  5. Step 5: Solve for x
    x = 968,834,678,436/454,536
  6. Step 6: Final answer
    x = 2,131,480.63

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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.