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Finding the Third Proportional to 2,429,536 and 5,802,598

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Solution

The third proportional to 2,429,536 and 5,802,598 is: 13,858,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,536 : 5,802,598 = 5,802,598 : x
  2. Step 2: Convert to fraction form
    2,429,536/5,802,598 = 5,802,598/x
  3. Step 3: Cross multiply
    2,429,536x = 5,802,598 × 5,802,598
  4. Step 4: Simplify right side
    2,429,536x = 33,670,143,549,604
  5. Step 5: Solve for x
    x = 33,670,143,549,604/2,429,536
  6. Step 6: Final answer
    x = 13,858,672.42

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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.