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Finding the Third Proportional to 479,511 and 1,033,731

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Solution

The third proportional to 479,511 and 1,033,731 is: 2,228,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,511 : 1,033,731 = 1,033,731 : x
  2. Step 2: Convert to fraction form
    479,511/1,033,731 = 1,033,731/x
  3. Step 3: Cross multiply
    479,511x = 1,033,731 × 1,033,731
  4. Step 4: Simplify right side
    479,511x = 1,068,599,780,361
  5. Step 5: Solve for x
    x = 1,068,599,780,361/479,511
  6. Step 6: Final answer
    x = 2,228,519.85

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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.