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Finding the Third Proportional to 1,196,797.78 and 2,592,946.69

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Solution

The third proportional to 1,196,797.78 and 2,592,946.69 is: 5,617,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,797.78 : 2,592,946.69 = 2,592,946.69 : x
  2. Step 2: Convert to fraction form
    1,196,797.78/2,592,946.69 = 2,592,946.69/x
  3. Step 3: Cross multiply
    1,196,797.78x = 2,592,946.69 × 2,592,946.69
  4. Step 4: Simplify right side
    1,196,797.78x = 6,723,372,524,217.22
  5. Step 5: Solve for x
    x = 6,723,372,524,217.22/1,196,797.78
  6. Step 6: Final answer
    x = 5,617,801.63

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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.