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Finding the Third Proportional to 1,127,147.91 and 2,293,661.81

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Solution

The third proportional to 1,127,147.91 and 2,293,661.81 is: 4,667,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,147.91 : 2,293,661.81 = 2,293,661.81 : x
  2. Step 2: Convert to fraction form
    1,127,147.91/2,293,661.81 = 2,293,661.81/x
  3. Step 3: Cross multiply
    1,127,147.91x = 2,293,661.81 × 2,293,661.81
  4. Step 4: Simplify right side
    1,127,147.91x = 5,260,884,510,120.79
  5. Step 5: Solve for x
    x = 5,260,884,510,120.79/1,127,147.91
  6. Step 6: Final answer
    x = 4,667,430.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.