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Finding the Third Proportional to 940,166 and 1,432,293

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Solution

The third proportional to 940,166 and 1,432,293 is: 2,182,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,166 : 1,432,293 = 1,432,293 : x
  2. Step 2: Convert to fraction form
    940,166/1,432,293 = 1,432,293/x
  3. Step 3: Cross multiply
    940,166x = 1,432,293 × 1,432,293
  4. Step 4: Simplify right side
    940,166x = 2,051,463,237,849
  5. Step 5: Solve for x
    x = 2,051,463,237,849/940,166
  6. Step 6: Final answer
    x = 2,182,022.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.