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Finding the Third Proportional to 4,761,441 and 6,806,181

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Solution

The third proportional to 4,761,441 and 6,806,181 is: 9,729,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761,441 : 6,806,181 = 6,806,181 : x
  2. Step 2: Convert to fraction form
    4,761,441/6,806,181 = 6,806,181/x
  3. Step 3: Cross multiply
    4,761,441x = 6,806,181 × 6,806,181
  4. Step 4: Simplify right side
    4,761,441x = 46,324,099,804,761
  5. Step 5: Solve for x
    x = 46,324,099,804,761/4,761,441
  6. Step 6: Final answer
    x = 9,729,008.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.