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Finding the Third Proportional to 1,027,372 and 1,636,193

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Solution

The third proportional to 1,027,372 and 1,636,193 is: 2,605,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,372 : 1,636,193 = 1,636,193 : x
  2. Step 2: Convert to fraction form
    1,027,372/1,636,193 = 1,636,193/x
  3. Step 3: Cross multiply
    1,027,372x = 1,636,193 × 1,636,193
  4. Step 4: Simplify right side
    1,027,372x = 2,677,127,533,249
  5. Step 5: Solve for x
    x = 2,677,127,533,249/1,027,372
  6. Step 6: Final answer
    x = 2,605,801.53

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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.