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Finding the Third Proportional to 541,816 and 1,246,104

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Solution

The third proportional to 541,816 and 1,246,104 is: 2,865,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,816 : 1,246,104 = 1,246,104 : x
  2. Step 2: Convert to fraction form
    541,816/1,246,104 = 1,246,104/x
  3. Step 3: Cross multiply
    541,816x = 1,246,104 × 1,246,104
  4. Step 4: Simplify right side
    541,816x = 1,552,775,178,816
  5. Step 5: Solve for x
    x = 1,552,775,178,816/541,816
  6. Step 6: Final answer
    x = 2,865,871.77

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.