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Finding the Third Proportional to 482,817 and 1,039,266

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Solution

The third proportional to 482,817 and 1,039,266 is: 2,237,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,817 : 1,039,266 = 1,039,266 : x
  2. Step 2: Convert to fraction form
    482,817/1,039,266 = 1,039,266/x
  3. Step 3: Cross multiply
    482,817x = 1,039,266 × 1,039,266
  4. Step 4: Simplify right side
    482,817x = 1,080,073,818,756
  5. Step 5: Solve for x
    x = 1,080,073,818,756/482,817
  6. Step 6: Final answer
    x = 2,237,025.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.