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Finding the Third Proportional to 2,733,428 and 5,981,692

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Solution

The third proportional to 2,733,428 and 5,981,692 is: 13,090,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733,428 : 5,981,692 = 5,981,692 : x
  2. Step 2: Convert to fraction form
    2,733,428/5,981,692 = 5,981,692/x
  3. Step 3: Cross multiply
    2,733,428x = 5,981,692 × 5,981,692
  4. Step 4: Simplify right side
    2,733,428x = 35,780,639,182,864
  5. Step 5: Solve for x
    x = 35,780,639,182,864/2,733,428
  6. Step 6: Final answer
    x = 13,090,024.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.