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Finding the Third Proportional to 541,210 and 1,168,228

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Solution

The third proportional to 541,210 and 1,168,228 is: 2,521,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,210 : 1,168,228 = 1,168,228 : x
  2. Step 2: Convert to fraction form
    541,210/1,168,228 = 1,168,228/x
  3. Step 3: Cross multiply
    541,210x = 1,168,228 × 1,168,228
  4. Step 4: Simplify right side
    541,210x = 1,364,756,659,984
  5. Step 5: Solve for x
    x = 1,364,756,659,984/541,210
  6. Step 6: Final answer
    x = 2,521,676.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.