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Finding the Third Proportional to 1,960,914 and 4,222,122

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Solution

The third proportional to 1,960,914 and 4,222,122 is: 9,090,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960,914 : 4,222,122 = 4,222,122 : x
  2. Step 2: Convert to fraction form
    1,960,914/4,222,122 = 4,222,122/x
  3. Step 3: Cross multiply
    1,960,914x = 4,222,122 × 4,222,122
  4. Step 4: Simplify right side
    1,960,914x = 17,826,314,182,884
  5. Step 5: Solve for x
    x = 17,826,314,182,884/1,960,914
  6. Step 6: Final answer
    x = 9,090,818.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.