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Finding the Third Proportional to 1,354,441.50 and 1,857,279.38

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Solution

The third proportional to 1,354,441.50 and 1,857,279.38 is: 2,546,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,441.50 : 1,857,279.38 = 1,857,279.38 : x
  2. Step 2: Convert to fraction form
    1,354,441.50/1,857,279.38 = 1,857,279.38/x
  3. Step 3: Cross multiply
    1,354,441.50x = 1,857,279.38 × 1,857,279.38
  4. Step 4: Simplify right side
    1,354,441.50x = 3,449,486,676,800.39
  5. Step 5: Solve for x
    x = 3,449,486,676,800.39/1,354,441.50
  6. Step 6: Final answer
    x = 2,546,796.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.