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Finding the Third Proportional to 457,952 and 997,356

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Solution

The third proportional to 457,952 and 997,356 is: 2,172,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,952 : 997,356 = 997,356 : x
  2. Step 2: Convert to fraction form
    457,952/997,356 = 997,356/x
  3. Step 3: Cross multiply
    457,952x = 997,356 × 997,356
  4. Step 4: Simplify right side
    457,952x = 994,718,990,736
  5. Step 5: Solve for x
    x = 994,718,990,736/457,952
  6. Step 6: Final answer
    x = 2,172,103.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.