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Finding the Third Proportional to 733,044 and 1,615,199

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Solution

The third proportional to 733,044 and 1,615,199 is: 3,558,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,044 : 1,615,199 = 1,615,199 : x
  2. Step 2: Convert to fraction form
    733,044/1,615,199 = 1,615,199/x
  3. Step 3: Cross multiply
    733,044x = 1,615,199 × 1,615,199
  4. Step 4: Simplify right side
    733,044x = 2,608,867,809,601
  5. Step 5: Solve for x
    x = 2,608,867,809,601/733,044
  6. Step 6: Final answer
    x = 3,558,951.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.