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Finding the Third Proportional to 443,452 and 1,005,290

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Solution

The third proportional to 443,452 and 1,005,290 is: 2,278,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,452 : 1,005,290 = 1,005,290 : x
  2. Step 2: Convert to fraction form
    443,452/1,005,290 = 1,005,290/x
  3. Step 3: Cross multiply
    443,452x = 1,005,290 × 1,005,290
  4. Step 4: Simplify right side
    443,452x = 1,010,607,984,100
  5. Step 5: Solve for x
    x = 1,010,607,984,100/443,452
  6. Step 6: Final answer
    x = 2,278,956.87

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.