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Finding the Third Proportional to 846,209.53 and 1,846,739.25

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Solution

The third proportional to 846,209.53 and 1,846,739.25 is: 4,030,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,209.53 : 1,846,739.25 = 1,846,739.25 : x
  2. Step 2: Convert to fraction form
    846,209.53/1,846,739.25 = 1,846,739.25/x
  3. Step 3: Cross multiply
    846,209.53x = 1,846,739.25 × 1,846,739.25
  4. Step 4: Simplify right side
    846,209.53x = 3,410,445,857,490.56
  5. Step 5: Solve for x
    x = 3,410,445,857,490.56/846,209.53
  6. Step 6: Final answer
    x = 4,030,261.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.