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Finding the Third Proportional to 412,848 and 904,376

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Solution

The third proportional to 412,848 and 904,376 is: 1,981,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,848 : 904,376 = 904,376 : x
  2. Step 2: Convert to fraction form
    412,848/904,376 = 904,376/x
  3. Step 3: Cross multiply
    412,848x = 904,376 × 904,376
  4. Step 4: Simplify right side
    412,848x = 817,895,949,376
  5. Step 5: Solve for x
    x = 817,895,949,376/412,848
  6. Step 6: Final answer
    x = 1,981,106.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.