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Finding the Third Proportional to 653,206 and 1,332,655

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Solution

The third proportional to 653,206 and 1,332,655 is: 2,718,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,206 : 1,332,655 = 1,332,655 : x
  2. Step 2: Convert to fraction form
    653,206/1,332,655 = 1,332,655/x
  3. Step 3: Cross multiply
    653,206x = 1,332,655 × 1,332,655
  4. Step 4: Simplify right side
    653,206x = 1,775,969,349,025
  5. Step 5: Solve for x
    x = 1,775,969,349,025/653,206
  6. Step 6: Final answer
    x = 2,718,850.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.