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Finding the Third Proportional to 2,102,164 and 3,246,405

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Solution

The third proportional to 2,102,164 and 3,246,405 is: 5,013,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,164 : 3,246,405 = 3,246,405 : x
  2. Step 2: Convert to fraction form
    2,102,164/3,246,405 = 3,246,405/x
  3. Step 3: Cross multiply
    2,102,164x = 3,246,405 × 3,246,405
  4. Step 4: Simplify right side
    2,102,164x = 10,539,145,424,025
  5. Step 5: Solve for x
    x = 10,539,145,424,025/2,102,164
  6. Step 6: Final answer
    x = 5,013,474.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.