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Finding the Third Proportional to 3,130,284 and 4,761,198

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Solution

The third proportional to 3,130,284 and 4,761,198 is: 7,241,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130,284 : 4,761,198 = 4,761,198 : x
  2. Step 2: Convert to fraction form
    3,130,284/4,761,198 = 4,761,198/x
  3. Step 3: Cross multiply
    3,130,284x = 4,761,198 × 4,761,198
  4. Step 4: Simplify right side
    3,130,284x = 22,669,006,395,204
  5. Step 5: Solve for x
    x = 22,669,006,395,204/3,130,284
  6. Step 6: Final answer
    x = 7,241,836.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.