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Finding the Third Proportional to 756,656.44 and 1,157,150.81

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Solution

The third proportional to 756,656.44 and 1,157,150.81 is: 1,769,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,656.44 : 1,157,150.81 = 1,157,150.81 : x
  2. Step 2: Convert to fraction form
    756,656.44/1,157,150.81 = 1,157,150.81/x
  3. Step 3: Cross multiply
    756,656.44x = 1,157,150.81 × 1,157,150.81
  4. Step 4: Simplify right side
    756,656.44x = 1,338,998,002,869.41
  5. Step 5: Solve for x
    x = 1,338,998,002,869.41/756,656.44
  6. Step 6: Final answer
    x = 1,769,624.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.