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Finding the Third Proportional to 1,965,751.50 and 4,204,743

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Solution

The third proportional to 1,965,751.50 and 4,204,743 is: 8,993,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,751.50 : 4,204,743 = 4,204,743 : x
  2. Step 2: Convert to fraction form
    1,965,751.50/4,204,743 = 4,204,743/x
  3. Step 3: Cross multiply
    1,965,751.50x = 4,204,743 × 4,204,743
  4. Step 4: Simplify right side
    1,965,751.50x = 17,679,863,696,049
  5. Step 5: Solve for x
    x = 17,679,863,696,049/1,965,751.50
  6. Step 6: Final answer
    x = 8,993,946.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.