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Finding the Third Proportional to 557,039 and 1,189,246

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Solution

The third proportional to 557,039 and 1,189,246 is: 2,538,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,039 : 1,189,246 = 1,189,246 : x
  2. Step 2: Convert to fraction form
    557,039/1,189,246 = 1,189,246/x
  3. Step 3: Cross multiply
    557,039x = 1,189,246 × 1,189,246
  4. Step 4: Simplify right side
    557,039x = 1,414,306,048,516
  5. Step 5: Solve for x
    x = 1,414,306,048,516/557,039
  6. Step 6: Final answer
    x = 2,538,971.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.