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Finding the Third Proportional to 1,369,170 and 2,970,135

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Solution

The third proportional to 1,369,170 and 2,970,135 is: 6,443,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369,170 : 2,970,135 = 2,970,135 : x
  2. Step 2: Convert to fraction form
    1,369,170/2,970,135 = 2,970,135/x
  3. Step 3: Cross multiply
    1,369,170x = 2,970,135 × 2,970,135
  4. Step 4: Simplify right side
    1,369,170x = 8,821,701,918,225
  5. Step 5: Solve for x
    x = 8,821,701,918,225/1,369,170
  6. Step 6: Final answer
    x = 6,443,101.97

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