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Finding the Third Proportional to 4,048,692 and 6,114,864

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Solution

The third proportional to 4,048,692 and 6,114,864 is: 9,235,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048,692 : 6,114,864 = 6,114,864 : x
  2. Step 2: Convert to fraction form
    4,048,692/6,114,864 = 6,114,864/x
  3. Step 3: Cross multiply
    4,048,692x = 6,114,864 × 6,114,864
  4. Step 4: Simplify right side
    4,048,692x = 37,391,561,738,496
  5. Step 5: Solve for x
    x = 37,391,561,738,496/4,048,692
  6. Step 6: Final answer
    x = 9,235,467.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.