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Finding the Third Proportional to 689,364 and 1,458,212

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Solution

The third proportional to 689,364 and 1,458,212 is: 3,084,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,364 : 1,458,212 = 1,458,212 : x
  2. Step 2: Convert to fraction form
    689,364/1,458,212 = 1,458,212/x
  3. Step 3: Cross multiply
    689,364x = 1,458,212 × 1,458,212
  4. Step 4: Simplify right side
    689,364x = 2,126,382,236,944
  5. Step 5: Solve for x
    x = 2,126,382,236,944/689,364
  6. Step 6: Final answer
    x = 3,084,556.54

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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.