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Finding the Third Proportional to 4,761,443 and 6,806,184

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Solution

The third proportional to 4,761,443 and 6,806,184 is: 9,729,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761,443 : 6,806,184 = 6,806,184 : x
  2. Step 2: Convert to fraction form
    4,761,443/6,806,184 = 6,806,184/x
  3. Step 3: Cross multiply
    4,761,443x = 6,806,184 × 6,806,184
  4. Step 4: Simplify right side
    4,761,443x = 46,324,140,641,856
  5. Step 5: Solve for x
    x = 46,324,140,641,856/4,761,443
  6. Step 6: Final answer
    x = 9,729,012.96

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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.