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Finding the Third Proportional to 526,743 and 1,242,945

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Solution

The third proportional to 526,743 and 1,242,945 is: 2,932,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,743 : 1,242,945 = 1,242,945 : x
  2. Step 2: Convert to fraction form
    526,743/1,242,945 = 1,242,945/x
  3. Step 3: Cross multiply
    526,743x = 1,242,945 × 1,242,945
  4. Step 4: Simplify right side
    526,743x = 1,544,912,273,025
  5. Step 5: Solve for x
    x = 1,544,912,273,025/526,743
  6. Step 6: Final answer
    x = 2,932,952.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.