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Finding the Third Proportional to 648,343 and 1,396,558

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Solution

The third proportional to 648,343 and 1,396,558 is: 3,008,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,343 : 1,396,558 = 1,396,558 : x
  2. Step 2: Convert to fraction form
    648,343/1,396,558 = 1,396,558/x
  3. Step 3: Cross multiply
    648,343x = 1,396,558 × 1,396,558
  4. Step 4: Simplify right side
    648,343x = 1,950,374,247,364
  5. Step 5: Solve for x
    x = 1,950,374,247,364/648,343
  6. Step 6: Final answer
    x = 3,008,244.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.