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Finding the Third Proportional to 440,083.13 and 964,239.19

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Solution

The third proportional to 440,083.13 and 964,239.19 is: 2,112,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,083.13 : 964,239.19 = 964,239.19 : x
  2. Step 2: Convert to fraction form
    440,083.13/964,239.19 = 964,239.19/x
  3. Step 3: Cross multiply
    440,083.13x = 964,239.19 × 964,239.19
  4. Step 4: Simplify right side
    440,083.13x = 929,757,210,710.66
  5. Step 5: Solve for x
    x = 929,757,210,710.66/440,083.13
  6. Step 6: Final answer
    x = 2,112,685.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.