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Finding the Third Proportional to 689,240 and 1,546,864

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Solution

The third proportional to 689,240 and 1,546,864 is: 3,471,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,240 : 1,546,864 = 1,546,864 : x
  2. Step 2: Convert to fraction form
    689,240/1,546,864 = 1,546,864/x
  3. Step 3: Cross multiply
    689,240x = 1,546,864 × 1,546,864
  4. Step 4: Simplify right side
    689,240x = 2,392,788,234,496
  5. Step 5: Solve for x
    x = 2,392,788,234,496/689,240
  6. Step 6: Final answer
    x = 3,471,632.86

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.