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Finding the Third Proportional to 2,014,521 and 4,327,211

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Solution

The third proportional to 2,014,521 and 4,327,211 is: 9,294,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,521 : 4,327,211 = 4,327,211 : x
  2. Step 2: Convert to fraction form
    2,014,521/4,327,211 = 4,327,211/x
  3. Step 3: Cross multiply
    2,014,521x = 4,327,211 × 4,327,211
  4. Step 4: Simplify right side
    2,014,521x = 18,724,755,038,521
  5. Step 5: Solve for x
    x = 18,724,755,038,521/2,014,521
  6. Step 6: Final answer
    x = 9,294,891.96

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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.