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Finding the Third Proportional to 545,478 and 1,190,094

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Solution

The third proportional to 545,478 and 1,190,094 is: 2,596,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,478 : 1,190,094 = 1,190,094 : x
  2. Step 2: Convert to fraction form
    545,478/1,190,094 = 1,190,094/x
  3. Step 3: Cross multiply
    545,478x = 1,190,094 × 1,190,094
  4. Step 4: Simplify right side
    545,478x = 1,416,323,728,836
  5. Step 5: Solve for x
    x = 1,416,323,728,836/545,478
  6. Step 6: Final answer
    x = 2,596,481.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.