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Finding the Third Proportional to 3,428,764 and 4,670,134

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Solution

The third proportional to 3,428,764 and 4,670,134 is: 6,360,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428,764 : 4,670,134 = 4,670,134 : x
  2. Step 2: Convert to fraction form
    3,428,764/4,670,134 = 4,670,134/x
  3. Step 3: Cross multiply
    3,428,764x = 4,670,134 × 4,670,134
  4. Step 4: Simplify right side
    3,428,764x = 21,810,151,577,956
  5. Step 5: Solve for x
    x = 21,810,151,577,956/3,428,764
  6. Step 6: Final answer
    x = 6,360,936.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.