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Finding the Third Proportional to 1,049,358.94 and 2,259,257.63

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Solution

The third proportional to 1,049,358.94 and 2,259,257.63 is: 4,864,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,358.94 : 2,259,257.63 = 2,259,257.63 : x
  2. Step 2: Convert to fraction form
    1,049,358.94/2,259,257.63 = 2,259,257.63/x
  3. Step 3: Cross multiply
    1,049,358.94x = 2,259,257.63 × 2,259,257.63
  4. Step 4: Simplify right side
    1,049,358.94x = 5,104,245,016,120.64
  5. Step 5: Solve for x
    x = 5,104,245,016,120.64/1,049,358.94
  6. Step 6: Final answer
    x = 4,864,155.47

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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.