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Finding the Third Proportional to 982,565 and 1,491,573

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Solution

The third proportional to 982,565 and 1,491,573 is: 2,264,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,565 : 1,491,573 = 1,491,573 : x
  2. Step 2: Convert to fraction form
    982,565/1,491,573 = 1,491,573/x
  3. Step 3: Cross multiply
    982,565x = 1,491,573 × 1,491,573
  4. Step 4: Simplify right side
    982,565x = 2,224,790,014,329
  5. Step 5: Solve for x
    x = 2,224,790,014,329/982,565
  6. Step 6: Final answer
    x = 2,264,267.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.