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Finding the Third Proportional to 838,269 and 1,327,944.38

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Solution

The third proportional to 838,269 and 1,327,944.38 is: 2,103,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,269 : 1,327,944.38 = 1,327,944.38 : x
  2. Step 2: Convert to fraction form
    838,269/1,327,944.38 = 1,327,944.38/x
  3. Step 3: Cross multiply
    838,269x = 1,327,944.38 × 1,327,944.38
  4. Step 4: Simplify right side
    838,269x = 1,763,436,263,094.14
  5. Step 5: Solve for x
    x = 1,763,436,263,094.14/838,269
  6. Step 6: Final answer
    x = 2,103,663.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.