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Finding the Third Proportional to 581,364 and 1,233,198

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Solution

The third proportional to 581,364 and 1,233,198 is: 2,615,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,364 : 1,233,198 = 1,233,198 : x
  2. Step 2: Convert to fraction form
    581,364/1,233,198 = 1,233,198/x
  3. Step 3: Cross multiply
    581,364x = 1,233,198 × 1,233,198
  4. Step 4: Simplify right side
    581,364x = 1,520,777,307,204
  5. Step 5: Solve for x
    x = 1,520,777,307,204/581,364
  6. Step 6: Final answer
    x = 2,615,878.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.