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Finding the Third Proportional to 618,194 and 1,312,204

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Solution

The third proportional to 618,194 and 1,312,204 is: 2,785,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,194 : 1,312,204 = 1,312,204 : x
  2. Step 2: Convert to fraction form
    618,194/1,312,204 = 1,312,204/x
  3. Step 3: Cross multiply
    618,194x = 1,312,204 × 1,312,204
  4. Step 4: Simplify right side
    618,194x = 1,721,879,337,616
  5. Step 5: Solve for x
    x = 1,721,879,337,616/618,194
  6. Step 6: Final answer
    x = 2,785,338.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.