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Finding the Third Proportional to 517,810 and 1,107,578

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Solution

The third proportional to 517,810 and 1,107,578 is: 2,369,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,810 : 1,107,578 = 1,107,578 : x
  2. Step 2: Convert to fraction form
    517,810/1,107,578 = 1,107,578/x
  3. Step 3: Cross multiply
    517,810x = 1,107,578 × 1,107,578
  4. Step 4: Simplify right side
    517,810x = 1,226,729,026,084
  5. Step 5: Solve for x
    x = 1,226,729,026,084/517,810
  6. Step 6: Final answer
    x = 2,369,071.72

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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.