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Finding the Third Proportional to 1,769,664 and 2,723,751

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Solution

The third proportional to 1,769,664 and 2,723,751 is: 4,192,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,664 : 2,723,751 = 2,723,751 : x
  2. Step 2: Convert to fraction form
    1,769,664/2,723,751 = 2,723,751/x
  3. Step 3: Cross multiply
    1,769,664x = 2,723,751 × 2,723,751
  4. Step 4: Simplify right side
    1,769,664x = 7,418,819,510,001
  5. Step 5: Solve for x
    x = 7,418,819,510,001/1,769,664
  6. Step 6: Final answer
    x = 4,192,219.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.