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Finding the Third Proportional to 545,517 and 1,166,850

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Solution

The third proportional to 545,517 and 1,166,850 is: 2,495,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,517 : 1,166,850 = 1,166,850 : x
  2. Step 2: Convert to fraction form
    545,517/1,166,850 = 1,166,850/x
  3. Step 3: Cross multiply
    545,517x = 1,166,850 × 1,166,850
  4. Step 4: Simplify right side
    545,517x = 1,361,538,922,500
  5. Step 5: Solve for x
    x = 1,361,538,922,500/545,517
  6. Step 6: Final answer
    x = 2,495,868.91

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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.