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Finding the Third Proportional to 997,542 and 2,136,858

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Solution

The third proportional to 997,542 and 2,136,858 is: 4,577,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,542 : 2,136,858 = 2,136,858 : x
  2. Step 2: Convert to fraction form
    997,542/2,136,858 = 2,136,858/x
  3. Step 3: Cross multiply
    997,542x = 2,136,858 × 2,136,858
  4. Step 4: Simplify right side
    997,542x = 4,566,162,112,164
  5. Step 5: Solve for x
    x = 4,566,162,112,164/997,542
  6. Step 6: Final answer
    x = 4,577,413.39

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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.