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Finding the Third Proportional to 557,579 and 1,187,086

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Solution

The third proportional to 557,579 and 1,187,086 is: 2,527,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,579 : 1,187,086 = 1,187,086 : x
  2. Step 2: Convert to fraction form
    557,579/1,187,086 = 1,187,086/x
  3. Step 3: Cross multiply
    557,579x = 1,187,086 × 1,187,086
  4. Step 4: Simplify right side
    557,579x = 1,409,173,171,396
  5. Step 5: Solve for x
    x = 1,409,173,171,396/557,579
  6. Step 6: Final answer
    x = 2,527,306.75

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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.