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Finding the Third Proportional to 3,165,926 and 5,239,896

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Solution

The third proportional to 3,165,926 and 5,239,896 is: 8,672,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,926 : 5,239,896 = 5,239,896 : x
  2. Step 2: Convert to fraction form
    3,165,926/5,239,896 = 5,239,896/x
  3. Step 3: Cross multiply
    3,165,926x = 5,239,896 × 5,239,896
  4. Step 4: Simplify right side
    3,165,926x = 27,456,510,090,816
  5. Step 5: Solve for x
    x = 27,456,510,090,816/3,165,926
  6. Step 6: Final answer
    x = 8,672,505.32

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.