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Finding the Third Proportional to 1,416,142 and 2,135,965

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Solution

The third proportional to 1,416,142 and 2,135,965 is: 3,221,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,142 : 2,135,965 = 2,135,965 : x
  2. Step 2: Convert to fraction form
    1,416,142/2,135,965 = 2,135,965/x
  3. Step 3: Cross multiply
    1,416,142x = 2,135,965 × 2,135,965
  4. Step 4: Simplify right side
    1,416,142x = 4,562,346,481,225
  5. Step 5: Solve for x
    x = 4,562,346,481,225/1,416,142
  6. Step 6: Final answer
    x = 3,221,673.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.