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Finding the Third Proportional to 2,434,927 and 3,799,769

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Solution

The third proportional to 2,434,927 and 3,799,769 is: 5,929,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434,927 : 3,799,769 = 3,799,769 : x
  2. Step 2: Convert to fraction form
    2,434,927/3,799,769 = 3,799,769/x
  3. Step 3: Cross multiply
    2,434,927x = 3,799,769 × 3,799,769
  4. Step 4: Simplify right side
    2,434,927x = 14,438,244,453,361
  5. Step 5: Solve for x
    x = 14,438,244,453,361/2,434,927
  6. Step 6: Final answer
    x = 5,929,641.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.