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Finding the Third Proportional to 982,559 and 1,491,564

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Solution

The third proportional to 982,559 and 1,491,564 is: 2,264,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,559 : 1,491,564 = 1,491,564 : x
  2. Step 2: Convert to fraction form
    982,559/1,491,564 = 1,491,564/x
  3. Step 3: Cross multiply
    982,559x = 1,491,564 × 1,491,564
  4. Step 4: Simplify right side
    982,559x = 2,224,763,166,096
  5. Step 5: Solve for x
    x = 2,224,763,166,096/982,559
  6. Step 6: Final answer
    x = 2,264,254.02

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