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Finding the Third Proportional to 626,170 and 1,364,120

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Solution

The third proportional to 626,170 and 1,364,120 is: 2,971,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,170 : 1,364,120 = 1,364,120 : x
  2. Step 2: Convert to fraction form
    626,170/1,364,120 = 1,364,120/x
  3. Step 3: Cross multiply
    626,170x = 1,364,120 × 1,364,120
  4. Step 4: Simplify right side
    626,170x = 1,860,823,374,400
  5. Step 5: Solve for x
    x = 1,860,823,374,400/626,170
  6. Step 6: Final answer
    x = 2,971,754.28

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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.