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Finding the Third Proportional to 1,102,414 and 2,362,288

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Solution

The third proportional to 1,102,414 and 2,362,288 is: 5,061,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,414 : 2,362,288 = 2,362,288 : x
  2. Step 2: Convert to fraction form
    1,102,414/2,362,288 = 2,362,288/x
  3. Step 3: Cross multiply
    1,102,414x = 2,362,288 × 2,362,288
  4. Step 4: Simplify right side
    1,102,414x = 5,580,404,594,944
  5. Step 5: Solve for x
    x = 5,580,404,594,944/1,102,414
  6. Step 6: Final answer
    x = 5,061,986.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.