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Finding the Third Proportional to 801,360 and 1,692,144

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Solution

The third proportional to 801,360 and 1,692,144 is: 3,573,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,360 : 1,692,144 = 1,692,144 : x
  2. Step 2: Convert to fraction form
    801,360/1,692,144 = 1,692,144/x
  3. Step 3: Cross multiply
    801,360x = 1,692,144 × 1,692,144
  4. Step 4: Simplify right side
    801,360x = 2,863,351,316,736
  5. Step 5: Solve for x
    x = 2,863,351,316,736/801,360
  6. Step 6: Final answer
    x = 3,573,114.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.