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Finding the Third Proportional to 545,982 and 1,161,984

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Solution

The third proportional to 545,982 and 1,161,984 is: 2,472,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,982 : 1,161,984 = 1,161,984 : x
  2. Step 2: Convert to fraction form
    545,982/1,161,984 = 1,161,984/x
  3. Step 3: Cross multiply
    545,982x = 1,161,984 × 1,161,984
  4. Step 4: Simplify right side
    545,982x = 1,350,206,816,256
  5. Step 5: Solve for x
    x = 1,350,206,816,256/545,982
  6. Step 6: Final answer
    x = 2,472,987.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.