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Finding the Third Proportional to 1,664,508 and 2,514,259

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Solution

The third proportional to 1,664,508 and 2,514,259 is: 3,797,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,508 : 2,514,259 = 2,514,259 : x
  2. Step 2: Convert to fraction form
    1,664,508/2,514,259 = 2,514,259/x
  3. Step 3: Cross multiply
    1,664,508x = 2,514,259 × 2,514,259
  4. Step 4: Simplify right side
    1,664,508x = 6,321,498,319,081
  5. Step 5: Solve for x
    x = 6,321,498,319,081/1,664,508
  6. Step 6: Final answer
    x = 3,797,817.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.