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Finding the Third Proportional to 613,680 and 1,269,964

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Solution

The third proportional to 613,680 and 1,269,964 is: 2,628,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,680 : 1,269,964 = 1,269,964 : x
  2. Step 2: Convert to fraction form
    613,680/1,269,964 = 1,269,964/x
  3. Step 3: Cross multiply
    613,680x = 1,269,964 × 1,269,964
  4. Step 4: Simplify right side
    613,680x = 1,612,808,561,296
  5. Step 5: Solve for x
    x = 1,612,808,561,296/613,680
  6. Step 6: Final answer
    x = 2,628,093.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.