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Finding the Third Proportional to 440,950.13 and 965,929.13

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Solution

The third proportional to 440,950.13 and 965,929.13 is: 2,115,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,950.13 : 965,929.13 = 965,929.13 : x
  2. Step 2: Convert to fraction form
    440,950.13/965,929.13 = 965,929.13/x
  3. Step 3: Cross multiply
    440,950.13x = 965,929.13 × 965,929.13
  4. Step 4: Simplify right side
    440,950.13x = 933,019,074,523.27
  5. Step 5: Solve for x
    x = 933,019,074,523.27/440,950.13
  6. Step 6: Final answer
    x = 2,115,928.81

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Why These Related Problems?

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