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Finding the Third Proportional to 822,530 and 1,120,557

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Solution

The third proportional to 822,530 and 1,120,557 is: 1,526,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,530 : 1,120,557 = 1,120,557 : x
  2. Step 2: Convert to fraction form
    822,530/1,120,557 = 1,120,557/x
  3. Step 3: Cross multiply
    822,530x = 1,120,557 × 1,120,557
  4. Step 4: Simplify right side
    822,530x = 1,255,647,990,249
  5. Step 5: Solve for x
    x = 1,255,647,990,249/822,530
  6. Step 6: Final answer
    x = 1,526,568.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.