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Finding the Third Proportional to 1,204,305 and 1,761,239

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Solution

The third proportional to 1,204,305 and 1,761,239 is: 2,575,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,305 : 1,761,239 = 1,761,239 : x
  2. Step 2: Convert to fraction form
    1,204,305/1,761,239 = 1,761,239/x
  3. Step 3: Cross multiply
    1,204,305x = 1,761,239 × 1,761,239
  4. Step 4: Simplify right side
    1,204,305x = 3,101,962,815,121
  5. Step 5: Solve for x
    x = 3,101,962,815,121/1,204,305
  6. Step 6: Final answer
    x = 2,575,728.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.