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Finding the Third Proportional to 3,928,824 and 5,869,039.78

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Solution

The third proportional to 3,928,824 and 5,869,039.78 is: 8,767,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928,824 : 5,869,039.78 = 5,869,039.78 : x
  2. Step 2: Convert to fraction form
    3,928,824/5,869,039.78 = 5,869,039.78/x
  3. Step 3: Cross multiply
    3,928,824x = 5,869,039.78 × 5,869,039.78
  4. Step 4: Simplify right side
    3,928,824x = 34,445,627,953,895.05
  5. Step 5: Solve for x
    x = 34,445,627,953,895.05/3,928,824
  6. Step 6: Final answer
    x = 8,767,414.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.