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Finding the Third Proportional to 481,768 and 1,058,868

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Solution

The third proportional to 481,768 and 1,058,868 is: 2,327,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,768 : 1,058,868 = 1,058,868 : x
  2. Step 2: Convert to fraction form
    481,768/1,058,868 = 1,058,868/x
  3. Step 3: Cross multiply
    481,768x = 1,058,868 × 1,058,868
  4. Step 4: Simplify right side
    481,768x = 1,121,201,441,424
  5. Step 5: Solve for x
    x = 1,121,201,441,424/481,768
  6. Step 6: Final answer
    x = 2,327,264.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.