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Finding the Third Proportional to 1,030,914 and 2,214,405

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Solution

The third proportional to 1,030,914 and 2,214,405 is: 4,756,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,914 : 2,214,405 = 2,214,405 : x
  2. Step 2: Convert to fraction form
    1,030,914/2,214,405 = 2,214,405/x
  3. Step 3: Cross multiply
    1,030,914x = 2,214,405 × 2,214,405
  4. Step 4: Simplify right side
    1,030,914x = 4,903,589,504,025
  5. Step 5: Solve for x
    x = 4,903,589,504,025/1,030,914
  6. Step 6: Final answer
    x = 4,756,545.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.