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Finding the Third Proportional to 2,274,114 and 4,975,515

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Solution

The third proportional to 2,274,114 and 4,975,515 is: 10,885,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,114 : 4,975,515 = 4,975,515 : x
  2. Step 2: Convert to fraction form
    2,274,114/4,975,515 = 4,975,515/x
  3. Step 3: Cross multiply
    2,274,114x = 4,975,515 × 4,975,515
  4. Step 4: Simplify right side
    2,274,114x = 24,755,749,515,225
  5. Step 5: Solve for x
    x = 24,755,749,515,225/2,274,114
  6. Step 6: Final answer
    x = 10,885,887.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.