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Finding the Third Proportional to 626,814 and 1,353,375

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Solution

The third proportional to 626,814 and 1,353,375 is: 2,922,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,814 : 1,353,375 = 1,353,375 : x
  2. Step 2: Convert to fraction form
    626,814/1,353,375 = 1,353,375/x
  3. Step 3: Cross multiply
    626,814x = 1,353,375 × 1,353,375
  4. Step 4: Simplify right side
    626,814x = 1,831,623,890,625
  5. Step 5: Solve for x
    x = 1,831,623,890,625/626,814
  6. Step 6: Final answer
    x = 2,922,117.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.