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Finding the Third Proportional to 2,965,327 and 6,508,022

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Solution

The third proportional to 2,965,327 and 6,508,022 is: 14,283,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,327 : 6,508,022 = 6,508,022 : x
  2. Step 2: Convert to fraction form
    2,965,327/6,508,022 = 6,508,022/x
  3. Step 3: Cross multiply
    2,965,327x = 6,508,022 × 6,508,022
  4. Step 4: Simplify right side
    2,965,327x = 42,354,350,352,484
  5. Step 5: Solve for x
    x = 42,354,350,352,484/2,965,327
  6. Step 6: Final answer
    x = 14,283,197.22

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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.