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Finding the Third Proportional to 982,562 and 1,491,569

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Solution

The third proportional to 982,562 and 1,491,569 is: 2,264,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,562 : 1,491,569 = 1,491,569 : x
  2. Step 2: Convert to fraction form
    982,562/1,491,569 = 1,491,569/x
  3. Step 3: Cross multiply
    982,562x = 1,491,569 × 1,491,569
  4. Step 4: Simplify right side
    982,562x = 2,224,778,081,761
  5. Step 5: Solve for x
    x = 2,224,778,081,761/982,562
  6. Step 6: Final answer
    x = 2,264,262.29

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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.