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Finding the Third Proportional to 1,416,146 and 2,135,972

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Solution

The third proportional to 1,416,146 and 2,135,972 is: 3,221,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,146 : 2,135,972 = 2,135,972 : x
  2. Step 2: Convert to fraction form
    1,416,146/2,135,972 = 2,135,972/x
  3. Step 3: Cross multiply
    1,416,146x = 2,135,972 × 2,135,972
  4. Step 4: Simplify right side
    1,416,146x = 4,562,376,384,784
  5. Step 5: Solve for x
    x = 4,562,376,384,784/1,416,146
  6. Step 6: Final answer
    x = 3,221,685.04

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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.