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Finding the Third Proportional to 2,693,424 and 5,893,584

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Solution

The third proportional to 2,693,424 and 5,893,584 is: 12,895,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,424 : 5,893,584 = 5,893,584 : x
  2. Step 2: Convert to fraction form
    2,693,424/5,893,584 = 5,893,584/x
  3. Step 3: Cross multiply
    2,693,424x = 5,893,584 × 5,893,584
  4. Step 4: Simplify right side
    2,693,424x = 34,734,332,365,056
  5. Step 5: Solve for x
    x = 34,734,332,365,056/2,693,424
  6. Step 6: Final answer
    x = 12,895,976.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.