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Finding the Third Proportional to 1,536,795 and 2,469,217

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Solution

The third proportional to 1,536,795 and 2,469,217 is: 3,967,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,795 : 2,469,217 = 2,469,217 : x
  2. Step 2: Convert to fraction form
    1,536,795/2,469,217 = 2,469,217/x
  3. Step 3: Cross multiply
    1,536,795x = 2,469,217 × 2,469,217
  4. Step 4: Simplify right side
    1,536,795x = 6,097,032,593,089
  5. Step 5: Solve for x
    x = 6,097,032,593,089/1,536,795
  6. Step 6: Final answer
    x = 3,967,368.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.