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Finding the Third Proportional to 2,429,534 and 5,802,593

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Solution

The third proportional to 2,429,534 and 5,802,593 is: 13,858,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,534 : 5,802,593 = 5,802,593 : x
  2. Step 2: Convert to fraction form
    2,429,534/5,802,593 = 5,802,593/x
  3. Step 3: Cross multiply
    2,429,534x = 5,802,593 × 5,802,593
  4. Step 4: Simplify right side
    2,429,534x = 33,670,085,523,649
  5. Step 5: Solve for x
    x = 33,670,085,523,649/2,429,534
  6. Step 6: Final answer
    x = 13,858,659.94

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.