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Finding the Third Proportional to 828,093.38 and 1,775,894.63

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Solution

The third proportional to 828,093.38 and 1,775,894.63 is: 3,808,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,093.38 : 1,775,894.63 = 1,775,894.63 : x
  2. Step 2: Convert to fraction form
    828,093.38/1,775,894.63 = 1,775,894.63/x
  3. Step 3: Cross multiply
    828,093.38x = 1,775,894.63 × 1,775,894.63
  4. Step 4: Simplify right side
    828,093.38x = 3,153,801,719,103.89
  5. Step 5: Solve for x
    x = 3,153,801,719,103.89/828,093.38
  6. Step 6: Final answer
    x = 3,808,509.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.