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Finding the Third Proportional to 816,700 and 1,311,150

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Solution

The third proportional to 816,700 and 1,311,150 is: 2,104,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,700 : 1,311,150 = 1,311,150 : x
  2. Step 2: Convert to fraction form
    816,700/1,311,150 = 1,311,150/x
  3. Step 3: Cross multiply
    816,700x = 1,311,150 × 1,311,150
  4. Step 4: Simplify right side
    816,700x = 1,719,114,322,500
  5. Step 5: Solve for x
    x = 1,719,114,322,500/816,700
  6. Step 6: Final answer
    x = 2,104,952.03

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.