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Finding the Third Proportional to 808,420 and 1,347,286

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Solution

The third proportional to 808,420 and 1,347,286 is: 2,245,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,420 : 1,347,286 = 1,347,286 : x
  2. Step 2: Convert to fraction form
    808,420/1,347,286 = 1,347,286/x
  3. Step 3: Cross multiply
    808,420x = 1,347,286 × 1,347,286
  4. Step 4: Simplify right side
    808,420x = 1,815,179,565,796
  5. Step 5: Solve for x
    x = 1,815,179,565,796/808,420
  6. Step 6: Final answer
    x = 2,245,342.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.