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Finding the Third Proportional to 517,024 and 1,108,928

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Solution

The third proportional to 517,024 and 1,108,928 is: 2,378,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,024 : 1,108,928 = 1,108,928 : x
  2. Step 2: Convert to fraction form
    517,024/1,108,928 = 1,108,928/x
  3. Step 3: Cross multiply
    517,024x = 1,108,928 × 1,108,928
  4. Step 4: Simplify right side
    517,024x = 1,229,721,309,184
  5. Step 5: Solve for x
    x = 1,229,721,309,184/517,024
  6. Step 6: Final answer
    x = 2,378,460.79

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Why These Related Problems?

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