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Finding the Third Proportional to 838,069.03 and 1,327,938.05

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Solution

The third proportional to 838,069.03 and 1,327,938.05 is: 2,104,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,069.03 : 1,327,938.05 = 1,327,938.05 : x
  2. Step 2: Convert to fraction form
    838,069.03/1,327,938.05 = 1,327,938.05/x
  3. Step 3: Cross multiply
    838,069.03x = 1,327,938.05 × 1,327,938.05
  4. Step 4: Simplify right side
    838,069.03x = 1,763,419,456,338.19
  5. Step 5: Solve for x
    x = 1,763,419,456,338.19/838,069.03
  6. Step 6: Final answer
    x = 2,104,145.83

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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.