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Finding the Third Proportional to 3,211,914 and 4,729,134

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Solution

The third proportional to 3,211,914 and 4,729,134 is: 6,963,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,914 : 4,729,134 = 4,729,134 : x
  2. Step 2: Convert to fraction form
    3,211,914/4,729,134 = 4,729,134/x
  3. Step 3: Cross multiply
    3,211,914x = 4,729,134 × 4,729,134
  4. Step 4: Simplify right side
    3,211,914x = 22,364,708,389,956
  5. Step 5: Solve for x
    x = 22,364,708,389,956/3,211,914
  6. Step 6: Final answer
    x = 6,963,047.08

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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.