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Finding the Third Proportional to 4,085,172 and 6,465,694

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Solution

The third proportional to 4,085,172 and 6,465,694 is: 10,233,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085,172 : 6,465,694 = 6,465,694 : x
  2. Step 2: Convert to fraction form
    4,085,172/6,465,694 = 6,465,694/x
  3. Step 3: Cross multiply
    4,085,172x = 6,465,694 × 6,465,694
  4. Step 4: Simplify right side
    4,085,172x = 41,805,198,901,636
  5. Step 5: Solve for x
    x = 41,805,198,901,636/4,085,172
  6. Step 6: Final answer
    x = 10,233,399.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.