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Finding the Third Proportional to 418,524 and 904,116

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Solution

The third proportional to 418,524 and 904,116 is: 1,953,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,524 : 904,116 = 904,116 : x
  2. Step 2: Convert to fraction form
    418,524/904,116 = 904,116/x
  3. Step 3: Cross multiply
    418,524x = 904,116 × 904,116
  4. Step 4: Simplify right side
    418,524x = 817,425,741,456
  5. Step 5: Solve for x
    x = 817,425,741,456/418,524
  6. Step 6: Final answer
    x = 1,953,115.57

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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.