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Finding the Third Proportional to 587,093.06 and 1,261,038.38

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Solution

The third proportional to 587,093.06 and 1,261,038.38 is: 2,708,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,093.06 : 1,261,038.38 = 1,261,038.38 : x
  2. Step 2: Convert to fraction form
    587,093.06/1,261,038.38 = 1,261,038.38/x
  3. Step 3: Cross multiply
    587,093.06x = 1,261,038.38 × 1,261,038.38
  4. Step 4: Simplify right side
    587,093.06x = 1,590,217,783,222.64
  5. Step 5: Solve for x
    x = 1,590,217,783,222.64/587,093.06
  6. Step 6: Final answer
    x = 2,708,629.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.