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Finding the Third Proportional to 582,469 and 1,245,919

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Solution

The third proportional to 582,469 and 1,245,919 is: 2,665,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,469 : 1,245,919 = 1,245,919 : x
  2. Step 2: Convert to fraction form
    582,469/1,245,919 = 1,245,919/x
  3. Step 3: Cross multiply
    582,469x = 1,245,919 × 1,245,919
  4. Step 4: Simplify right side
    582,469x = 1,552,314,154,561
  5. Step 5: Solve for x
    x = 1,552,314,154,561/582,469
  6. Step 6: Final answer
    x = 2,665,058.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.