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Finding the Third Proportional to 3,211,938 and 4,729,170

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Solution

The third proportional to 3,211,938 and 4,729,170 is: 6,963,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,938 : 4,729,170 = 4,729,170 : x
  2. Step 2: Convert to fraction form
    3,211,938/4,729,170 = 4,729,170/x
  3. Step 3: Cross multiply
    3,211,938x = 4,729,170 × 4,729,170
  4. Step 4: Simplify right side
    3,211,938x = 22,365,048,888,900
  5. Step 5: Solve for x
    x = 22,365,048,888,900/3,211,938
  6. Step 6: Final answer
    x = 6,963,101.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.