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Finding the Third Proportional to 982,566 and 1,491,574.50

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Solution

The third proportional to 982,566 and 1,491,574.50 is: 2,264,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,566 : 1,491,574.50 = 1,491,574.50 : x
  2. Step 2: Convert to fraction form
    982,566/1,491,574.50 = 1,491,574.50/x
  3. Step 3: Cross multiply
    982,566x = 1,491,574.50 × 1,491,574.50
  4. Step 4: Simplify right side
    982,566x = 2,224,794,489,050.25
  5. Step 5: Solve for x
    x = 2,224,794,489,050.25/982,566
  6. Step 6: Final answer
    x = 2,264,269.77

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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.