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Finding the Third Proportional to 418,887 and 904,194

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Solution

The third proportional to 418,887 and 904,194 is: 1,951,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,887 : 904,194 = 904,194 : x
  2. Step 2: Convert to fraction form
    418,887/904,194 = 904,194/x
  3. Step 3: Cross multiply
    418,887x = 904,194 × 904,194
  4. Step 4: Simplify right side
    418,887x = 817,566,789,636
  5. Step 5: Solve for x
    x = 817,566,789,636/418,887
  6. Step 6: Final answer
    x = 1,951,759.76

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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.