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Finding the Third Proportional to 1,415,149.31 and 3,108,305.81

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Solution

The third proportional to 1,415,149.31 and 3,108,305.81 is: 6,827,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,149.31 : 3,108,305.81 = 3,108,305.81 : x
  2. Step 2: Convert to fraction form
    1,415,149.31/3,108,305.81 = 3,108,305.81/x
  3. Step 3: Cross multiply
    1,415,149.31x = 3,108,305.81 × 3,108,305.81
  4. Step 4: Simplify right side
    1,415,149.31x = 9,661,565,024,021.29
  5. Step 5: Solve for x
    x = 9,661,565,024,021.29/1,415,149.31
  6. Step 6: Final answer
    x = 6,827,240.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.