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Finding the Third Proportional to 1,761,122.25 and 3,823,392.38

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Solution

The third proportional to 1,761,122.25 and 3,823,392.38 is: 8,300,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,122.25 : 3,823,392.38 = 3,823,392.38 : x
  2. Step 2: Convert to fraction form
    1,761,122.25/3,823,392.38 = 3,823,392.38/x
  3. Step 3: Cross multiply
    1,761,122.25x = 3,823,392.38 × 3,823,392.38
  4. Step 4: Simplify right side
    1,761,122.25x = 14,618,329,253,208.14
  5. Step 5: Solve for x
    x = 14,618,329,253,208.14/1,761,122.25
  6. Step 6: Final answer
    x = 8,300,576.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.