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Finding the Third Proportional to 975,832 and 1,522,766

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Solution

The third proportional to 975,832 and 1,522,766 is: 2,376,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,832 : 1,522,766 = 1,522,766 : x
  2. Step 2: Convert to fraction form
    975,832/1,522,766 = 1,522,766/x
  3. Step 3: Cross multiply
    975,832x = 1,522,766 × 1,522,766
  4. Step 4: Simplify right side
    975,832x = 2,318,816,290,756
  5. Step 5: Solve for x
    x = 2,318,816,290,756/975,832
  6. Step 6: Final answer
    x = 2,376,245.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.