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Finding the Third Proportional to 913,104 and 1,405,296

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Solution

The third proportional to 913,104 and 1,405,296 is: 2,162,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,104 : 1,405,296 = 1,405,296 : x
  2. Step 2: Convert to fraction form
    913,104/1,405,296 = 1,405,296/x
  3. Step 3: Cross multiply
    913,104x = 1,405,296 × 1,405,296
  4. Step 4: Simplify right side
    913,104x = 1,974,856,847,616
  5. Step 5: Solve for x
    x = 1,974,856,847,616/913,104
  6. Step 6: Final answer
    x = 2,162,795.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.