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Finding the Third Proportional to 1,950,696.75 and 4,189,011

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Solution

The third proportional to 1,950,696.75 and 4,189,011 is: 8,995,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950,696.75 : 4,189,011 = 4,189,011 : x
  2. Step 2: Convert to fraction form
    1,950,696.75/4,189,011 = 4,189,011/x
  3. Step 3: Cross multiply
    1,950,696.75x = 4,189,011 × 4,189,011
  4. Step 4: Simplify right side
    1,950,696.75x = 17,547,813,158,121
  5. Step 5: Solve for x
    x = 17,547,813,158,121/1,950,696.75
  6. Step 6: Final answer
    x = 8,995,664.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.