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Finding the Third Proportional to 476,569 and 929,192

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Solution

The third proportional to 476,569 and 929,192 is: 1,811,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,569 : 929,192 = 929,192 : x
  2. Step 2: Convert to fraction form
    476,569/929,192 = 929,192/x
  3. Step 3: Cross multiply
    476,569x = 929,192 × 929,192
  4. Step 4: Simplify right side
    476,569x = 863,397,772,864
  5. Step 5: Solve for x
    x = 863,397,772,864/476,569
  6. Step 6: Final answer
    x = 1,811,695.21

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.