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Finding the Third Proportional to 1,953,450 and 4,187,241

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Solution

The third proportional to 1,953,450 and 4,187,241 is: 8,975,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,450 : 4,187,241 = 4,187,241 : x
  2. Step 2: Convert to fraction form
    1,953,450/4,187,241 = 4,187,241/x
  3. Step 3: Cross multiply
    1,953,450x = 4,187,241 × 4,187,241
  4. Step 4: Simplify right side
    1,953,450x = 17,532,987,192,081
  5. Step 5: Solve for x
    x = 17,532,987,192,081/1,953,450
  6. Step 6: Final answer
    x = 8,975,395.94

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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.