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Finding the Third Proportional to 553,194 and 1,206,920

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Solution

The third proportional to 553,194 and 1,206,920 is: 2,633,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,194 : 1,206,920 = 1,206,920 : x
  2. Step 2: Convert to fraction form
    553,194/1,206,920 = 1,206,920/x
  3. Step 3: Cross multiply
    553,194x = 1,206,920 × 1,206,920
  4. Step 4: Simplify right side
    553,194x = 1,456,655,886,400
  5. Step 5: Solve for x
    x = 1,456,655,886,400/553,194
  6. Step 6: Final answer
    x = 2,633,173.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.