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Finding the Third Proportional to 854,611 and 1,353,263

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Solution

The third proportional to 854,611 and 1,353,263 is: 2,142,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,611 : 1,353,263 = 1,353,263 : x
  2. Step 2: Convert to fraction form
    854,611/1,353,263 = 1,353,263/x
  3. Step 3: Cross multiply
    854,611x = 1,353,263 × 1,353,263
  4. Step 4: Simplify right side
    854,611x = 1,831,320,747,169
  5. Step 5: Solve for x
    x = 1,831,320,747,169/854,611
  6. Step 6: Final answer
    x = 2,142,870.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.