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Finding the Third Proportional to 846.70 and 1,978.17

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Solution

The third proportional to 846.70 and 1,978.17 is: 4,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.70 : 1,978.17 = 1,978.17 : x
  2. Step 2: Convert to fraction form
    846.70/1,978.17 = 1,978.17/x
  3. Step 3: Cross multiply
    846.70x = 1,978.17 × 1,978.17
  4. Step 4: Simplify right side
    846.70x = 3,913,163.97
  5. Step 5: Solve for x
    x = 3,913,163.97/846.70
  6. Step 6: Final answer
    x = 4,621.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.