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Finding the Third Proportional to 701,314 and 1,536,116

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Solution

The third proportional to 701,314 and 1,536,116 is: 3,364,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,314 : 1,536,116 = 1,536,116 : x
  2. Step 2: Convert to fraction form
    701,314/1,536,116 = 1,536,116/x
  3. Step 3: Cross multiply
    701,314x = 1,536,116 × 1,536,116
  4. Step 4: Simplify right side
    701,314x = 2,359,652,365,456
  5. Step 5: Solve for x
    x = 2,359,652,365,456/701,314
  6. Step 6: Final answer
    x = 3,364,616.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.