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Finding the Third Proportional to 1,536,808 and 2,469,237

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Solution

The third proportional to 1,536,808 and 2,469,237 is: 3,967,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,808 : 2,469,237 = 2,469,237 : x
  2. Step 2: Convert to fraction form
    1,536,808/2,469,237 = 2,469,237/x
  3. Step 3: Cross multiply
    1,536,808x = 2,469,237 × 2,469,237
  4. Step 4: Simplify right side
    1,536,808x = 6,097,131,362,169
  5. Step 5: Solve for x
    x = 6,097,131,362,169/1,536,808
  6. Step 6: Final answer
    x = 3,967,399.55

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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.