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Finding the Third Proportional to 940,032 and 1,412,136

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Solution

The third proportional to 940,032 and 1,412,136 is: 2,121,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,032 : 1,412,136 = 1,412,136 : x
  2. Step 2: Convert to fraction form
    940,032/1,412,136 = 1,412,136/x
  3. Step 3: Cross multiply
    940,032x = 1,412,136 × 1,412,136
  4. Step 4: Simplify right side
    940,032x = 1,994,128,082,496
  5. Step 5: Solve for x
    x = 1,994,128,082,496/940,032
  6. Step 6: Final answer
    x = 2,121,340.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.