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Finding the Third Proportional to 1,167,427.69 and 1,491,707.81

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Solution

The third proportional to 1,167,427.69 and 1,491,707.81 is: 1,906,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,427.69 : 1,491,707.81 = 1,491,707.81 : x
  2. Step 2: Convert to fraction form
    1,167,427.69/1,491,707.81 = 1,491,707.81/x
  3. Step 3: Cross multiply
    1,167,427.69x = 1,491,707.81 × 1,491,707.81
  4. Step 4: Simplify right side
    1,167,427.69x = 2,225,192,197,873.54
  5. Step 5: Solve for x
    x = 2,225,192,197,873.54/1,167,427.69
  6. Step 6: Final answer
    x = 1,906,064.27

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.