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Finding the Third Proportional to 689,236 and 1,546,856

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Solution

The third proportional to 689,236 and 1,546,856 is: 3,471,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,236 : 1,546,856 = 1,546,856 : x
  2. Step 2: Convert to fraction form
    689,236/1,546,856 = 1,546,856/x
  3. Step 3: Cross multiply
    689,236x = 1,546,856 × 1,546,856
  4. Step 4: Simplify right side
    689,236x = 2,392,763,484,736
  5. Step 5: Solve for x
    x = 2,392,763,484,736/689,236
  6. Step 6: Final answer
    x = 3,471,617.10

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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.