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Finding the Third Proportional to 605,700 and 1,311,705

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Solution

The third proportional to 605,700 and 1,311,705 is: 2,840,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,700 : 1,311,705 = 1,311,705 : x
  2. Step 2: Convert to fraction form
    605,700/1,311,705 = 1,311,705/x
  3. Step 3: Cross multiply
    605,700x = 1,311,705 × 1,311,705
  4. Step 4: Simplify right side
    605,700x = 1,720,570,007,025
  5. Step 5: Solve for x
    x = 1,720,570,007,025/605,700
  6. Step 6: Final answer
    x = 2,840,630.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.