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Finding the Third Proportional to 2,330,183 and 4,984,214

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Solution

The third proportional to 2,330,183 and 4,984,214 is: 10,661,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,183 : 4,984,214 = 4,984,214 : x
  2. Step 2: Convert to fraction form
    2,330,183/4,984,214 = 4,984,214/x
  3. Step 3: Cross multiply
    2,330,183x = 4,984,214 × 4,984,214
  4. Step 4: Simplify right side
    2,330,183x = 24,842,389,197,796
  5. Step 5: Solve for x
    x = 24,842,389,197,796/2,330,183
  6. Step 6: Final answer
    x = 10,661,132.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.