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Finding the Third Proportional to 1,031,254,216 and 1,635,633,204

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Solution

The third proportional to 1,031,254,216 and 1,635,633,204 is: 2,594,215,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,254,216 : 1,635,633,204 = 1,635,633,204 : x
  2. Step 2: Convert to fraction form
    1,031,254,216/1,635,633,204 = 1,635,633,204/x
  3. Step 3: Cross multiply
    1,031,254,216x = 1,635,633,204 × 1,635,633,204
  4. Step 4: Simplify right side
    1,031,254,216x = 2,675,295,978,027,305,472
  5. Step 5: Solve for x
    x = 2,675,295,978,027,305,472/1,031,254,216
  6. Step 6: Final answer
    x = 2,594,215,797.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.