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Finding the Third Proportional to 856,146.38 and 1,844,741.25

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Solution

The third proportional to 856,146.38 and 1,844,741.25 is: 3,974,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,146.38 : 1,844,741.25 = 1,844,741.25 : x
  2. Step 2: Convert to fraction form
    856,146.38/1,844,741.25 = 1,844,741.25/x
  3. Step 3: Cross multiply
    856,146.38x = 1,844,741.25 × 1,844,741.25
  4. Step 4: Simplify right side
    856,146.38x = 3,403,070,279,451.56
  5. Step 5: Solve for x
    x = 3,403,070,279,451.56/856,146.38
  6. Step 6: Final answer
    x = 3,974,869.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.