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Finding the Third Proportional to 545,578 and 1,166,966

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Solution

The third proportional to 545,578 and 1,166,966 is: 2,496,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,578 : 1,166,966 = 1,166,966 : x
  2. Step 2: Convert to fraction form
    545,578/1,166,966 = 1,166,966/x
  3. Step 3: Cross multiply
    545,578x = 1,166,966 × 1,166,966
  4. Step 4: Simplify right side
    545,578x = 1,361,809,645,156
  5. Step 5: Solve for x
    x = 1,361,809,645,156/545,578
  6. Step 6: Final answer
    x = 2,496,086.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.