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Finding the Third Proportional to 3,175,164 and 4,769,892

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Solution

The third proportional to 3,175,164 and 4,769,892 is: 7,165,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,164 : 4,769,892 = 4,769,892 : x
  2. Step 2: Convert to fraction form
    3,175,164/4,769,892 = 4,769,892/x
  3. Step 3: Cross multiply
    3,175,164x = 4,769,892 × 4,769,892
  4. Step 4: Simplify right side
    3,175,164x = 22,751,869,691,664
  5. Step 5: Solve for x
    x = 22,751,869,691,664/3,175,164
  6. Step 6: Final answer
    x = 7,165,573.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.