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Finding the Third Proportional to 3,613,398 and 5,320,269

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Solution

The third proportional to 3,613,398 and 5,320,269 is: 7,833,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613,398 : 5,320,269 = 5,320,269 : x
  2. Step 2: Convert to fraction form
    3,613,398/5,320,269 = 5,320,269/x
  3. Step 3: Cross multiply
    3,613,398x = 5,320,269 × 5,320,269
  4. Step 4: Simplify right side
    3,613,398x = 28,305,262,232,361
  5. Step 5: Solve for x
    x = 28,305,262,232,361/3,613,398
  6. Step 6: Final answer
    x = 7,833,419.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.