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Finding the Third Proportional to 2,032,701 and 4,419,682

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Solution

The third proportional to 2,032,701 and 4,419,682 is: 9,609,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,701 : 4,419,682 = 4,419,682 : x
  2. Step 2: Convert to fraction form
    2,032,701/4,419,682 = 4,419,682/x
  3. Step 3: Cross multiply
    2,032,701x = 4,419,682 × 4,419,682
  4. Step 4: Simplify right side
    2,032,701x = 19,533,588,981,124
  5. Step 5: Solve for x
    x = 19,533,588,981,124/2,032,701
  6. Step 6: Final answer
    x = 9,609,671.56

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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.