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Finding the Third Proportional to 3,175,167 and 4,769,897

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Solution

The third proportional to 3,175,167 and 4,769,897 is: 7,165,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,167 : 4,769,897 = 4,769,897 : x
  2. Step 2: Convert to fraction form
    3,175,167/4,769,897 = 4,769,897/x
  3. Step 3: Cross multiply
    3,175,167x = 4,769,897 × 4,769,897
  4. Step 4: Simplify right side
    3,175,167x = 22,751,917,390,609
  5. Step 5: Solve for x
    x = 22,751,917,390,609/3,175,167
  6. Step 6: Final answer
    x = 7,165,581.33

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Why These Related Problems?

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