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Finding the Third Proportional to 483,463 and 1,024,554

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Solution

The third proportional to 483,463 and 1,024,554 is: 2,171,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,463 : 1,024,554 = 1,024,554 : x
  2. Step 2: Convert to fraction form
    483,463/1,024,554 = 1,024,554/x
  3. Step 3: Cross multiply
    483,463x = 1,024,554 × 1,024,554
  4. Step 4: Simplify right side
    483,463x = 1,049,710,898,916
  5. Step 5: Solve for x
    x = 1,049,710,898,916/483,463
  6. Step 6: Final answer
    x = 2,171,233.16

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.