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Finding the Third Proportional to 609,202 and 1,320,100

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Solution

The third proportional to 609,202 and 1,320,100 is: 2,860,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,202 : 1,320,100 = 1,320,100 : x
  2. Step 2: Convert to fraction form
    609,202/1,320,100 = 1,320,100/x
  3. Step 3: Cross multiply
    609,202x = 1,320,100 × 1,320,100
  4. Step 4: Simplify right side
    609,202x = 1,742,664,010,000
  5. Step 5: Solve for x
    x = 1,742,664,010,000/609,202
  6. Step 6: Final answer
    x = 2,860,568.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.