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Finding the Third Proportional to 846,591.75 and 1,311,410.25

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Solution

The third proportional to 846,591.75 and 1,311,410.25 is: 2,031,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,591.75 : 1,311,410.25 = 1,311,410.25 : x
  2. Step 2: Convert to fraction form
    846,591.75/1,311,410.25 = 1,311,410.25/x
  3. Step 3: Cross multiply
    846,591.75x = 1,311,410.25 × 1,311,410.25
  4. Step 4: Simplify right side
    846,591.75x = 1,719,796,843,805.06
  5. Step 5: Solve for x
    x = 1,719,796,843,805.06/846,591.75
  6. Step 6: Final answer
    x = 2,031,435.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.