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Finding the Third Proportional to 613,622.25 and 1,312,530.75

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Solution

The third proportional to 613,622.25 and 1,312,530.75 is: 2,807,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,622.25 : 1,312,530.75 = 1,312,530.75 : x
  2. Step 2: Convert to fraction form
    613,622.25/1,312,530.75 = 1,312,530.75/x
  3. Step 3: Cross multiply
    613,622.25x = 1,312,530.75 × 1,312,530.75
  4. Step 4: Simplify right side
    613,622.25x = 1,722,736,969,695.56
  5. Step 5: Solve for x
    x = 1,722,736,969,695.56/613,622.25
  6. Step 6: Final answer
    x = 2,807,487.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.