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Finding the Third Proportional to 1,204,905 and 2,596,434

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Solution

The third proportional to 1,204,905 and 2,596,434 is: 5,595,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,905 : 2,596,434 = 2,596,434 : x
  2. Step 2: Convert to fraction form
    1,204,905/2,596,434 = 2,596,434/x
  3. Step 3: Cross multiply
    1,204,905x = 2,596,434 × 2,596,434
  4. Step 4: Simplify right side
    1,204,905x = 6,741,469,516,356
  5. Step 5: Solve for x
    x = 6,741,469,516,356/1,204,905
  6. Step 6: Final answer
    x = 5,595,021.61

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