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Finding the Third Proportional to 482,269 and 1,047,561

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Solution

The third proportional to 482,269 and 1,047,561 is: 2,275,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,269 : 1,047,561 = 1,047,561 : x
  2. Step 2: Convert to fraction form
    482,269/1,047,561 = 1,047,561/x
  3. Step 3: Cross multiply
    482,269x = 1,047,561 × 1,047,561
  4. Step 4: Simplify right side
    482,269x = 1,097,384,048,721
  5. Step 5: Solve for x
    x = 1,097,384,048,721/482,269
  6. Step 6: Final answer
    x = 2,275,460.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.