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Finding the Third Proportional to 3,290,430 and 5,085,006.75

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Solution

The third proportional to 3,290,430 and 5,085,006.75 is: 7,858,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290,430 : 5,085,006.75 = 5,085,006.75 : x
  2. Step 2: Convert to fraction form
    3,290,430/5,085,006.75 = 5,085,006.75/x
  3. Step 3: Cross multiply
    3,290,430x = 5,085,006.75 × 5,085,006.75
  4. Step 4: Simplify right side
    3,290,430x = 25,857,293,647,545.56
  5. Step 5: Solve for x
    x = 25,857,293,647,545.56/3,290,430
  6. Step 6: Final answer
    x = 7,858,332.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.