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Finding the Third Proportional to 557,608 and 1,187,142

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Solution

The third proportional to 557,608 and 1,187,142 is: 2,527,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,608 : 1,187,142 = 1,187,142 : x
  2. Step 2: Convert to fraction form
    557,608/1,187,142 = 1,187,142/x
  3. Step 3: Cross multiply
    557,608x = 1,187,142 × 1,187,142
  4. Step 4: Simplify right side
    557,608x = 1,409,306,128,164
  5. Step 5: Solve for x
    x = 1,409,306,128,164/557,608
  6. Step 6: Final answer
    x = 2,527,413.75

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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.