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Finding the Third Proportional to 499,847.84 and 1,097,436.09

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Solution

The third proportional to 499,847.84 and 1,097,436.09 is: 2,409,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,847.84 : 1,097,436.09 = 1,097,436.09 : x
  2. Step 2: Convert to fraction form
    499,847.84/1,097,436.09 = 1,097,436.09/x
  3. Step 3: Cross multiply
    499,847.84x = 1,097,436.09 × 1,097,436.09
  4. Step 4: Simplify right side
    499,847.84x = 1,204,365,979,865.26
  5. Step 5: Solve for x
    x = 1,204,365,979,865.26/499,847.84
  6. Step 6: Final answer
    x = 2,409,465.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.