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Finding the Third Proportional to 997,328 and 2,163,744

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Solution

The third proportional to 997,328 and 2,163,744 is: 4,694,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,328 : 2,163,744 = 2,163,744 : x
  2. Step 2: Convert to fraction form
    997,328/2,163,744 = 2,163,744/x
  3. Step 3: Cross multiply
    997,328x = 2,163,744 × 2,163,744
  4. Step 4: Simplify right side
    997,328x = 4,681,788,097,536
  5. Step 5: Solve for x
    x = 4,681,788,097,536/997,328
  6. Step 6: Final answer
    x = 4,694,331.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.