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Finding the Third Proportional to 2,731,943 and 5,995,327

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Solution

The third proportional to 2,731,943 and 5,995,327 is: 13,156,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,943 : 5,995,327 = 5,995,327 : x
  2. Step 2: Convert to fraction form
    2,731,943/5,995,327 = 5,995,327/x
  3. Step 3: Cross multiply
    2,731,943x = 5,995,327 × 5,995,327
  4. Step 4: Simplify right side
    2,731,943x = 35,943,945,836,929
  5. Step 5: Solve for x
    x = 35,943,945,836,929/2,731,943
  6. Step 6: Final answer
    x = 13,156,916.46

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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.