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Finding the Third Proportional to 2,014,220 and 4,121,509

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Solution

The third proportional to 2,014,220 and 4,121,509 is: 8,433,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,220 : 4,121,509 = 4,121,509 : x
  2. Step 2: Convert to fraction form
    2,014,220/4,121,509 = 4,121,509/x
  3. Step 3: Cross multiply
    2,014,220x = 4,121,509 × 4,121,509
  4. Step 4: Simplify right side
    2,014,220x = 16,986,836,437,081
  5. Step 5: Solve for x
    x = 16,986,836,437,081/2,014,220
  6. Step 6: Final answer
    x = 8,433,456.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.