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Finding the Third Proportional to 418,947 and 904,314

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Solution

The third proportional to 418,947 and 904,314 is: 1,951,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,947 : 904,314 = 904,314 : x
  2. Step 2: Convert to fraction form
    418,947/904,314 = 904,314/x
  3. Step 3: Cross multiply
    418,947x = 904,314 × 904,314
  4. Step 4: Simplify right side
    418,947x = 817,783,810,596
  5. Step 5: Solve for x
    x = 817,783,810,596/418,947
  6. Step 6: Final answer
    x = 1,951,998.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.