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Finding the Third Proportional to 541,981 and 1,167,205

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Solution

The third proportional to 541,981 and 1,167,205 is: 2,513,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,981 : 1,167,205 = 1,167,205 : x
  2. Step 2: Convert to fraction form
    541,981/1,167,205 = 1,167,205/x
  3. Step 3: Cross multiply
    541,981x = 1,167,205 × 1,167,205
  4. Step 4: Simplify right side
    541,981x = 1,362,367,512,025
  5. Step 5: Solve for x
    x = 1,362,367,512,025/541,981
  6. Step 6: Final answer
    x = 2,513,681.31

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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.