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Finding the Third Proportional to 591,684 and 1,277,989.50

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Solution

The third proportional to 591,684 and 1,277,989.50 is: 2,760,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,684 : 1,277,989.50 = 1,277,989.50 : x
  2. Step 2: Convert to fraction form
    591,684/1,277,989.50 = 1,277,989.50/x
  3. Step 3: Cross multiply
    591,684x = 1,277,989.50 × 1,277,989.50
  4. Step 4: Simplify right side
    591,684x = 1,633,257,162,110.25
  5. Step 5: Solve for x
    x = 1,633,257,162,110.25/591,684
  6. Step 6: Final answer
    x = 2,760,353.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.