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Finding the Third Proportional to 457,024 and 984,208

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Solution

The third proportional to 457,024 and 984,208 is: 2,119,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,024 : 984,208 = 984,208 : x
  2. Step 2: Convert to fraction form
    457,024/984,208 = 984,208/x
  3. Step 3: Cross multiply
    457,024x = 984,208 × 984,208
  4. Step 4: Simplify right side
    457,024x = 968,665,387,264
  5. Step 5: Solve for x
    x = 968,665,387,264/457,024
  6. Step 6: Final answer
    x = 2,119,506.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.