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Finding the Third Proportional to 2,960,606 and 6,478,433

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Solution

The third proportional to 2,960,606 and 6,478,433 is: 14,176,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,606 : 6,478,433 = 6,478,433 : x
  2. Step 2: Convert to fraction form
    2,960,606/6,478,433 = 6,478,433/x
  3. Step 3: Cross multiply
    2,960,606x = 6,478,433 × 6,478,433
  4. Step 4: Simplify right side
    2,960,606x = 41,970,094,135,489
  5. Step 5: Solve for x
    x = 41,970,094,135,489/2,960,606
  6. Step 6: Final answer
    x = 14,176,183.57

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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.