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Finding the Third Proportional to 862,102.50 and 1,873,432.50

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Solution

The third proportional to 862,102.50 and 1,873,432.50 is: 4,071,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,102.50 : 1,873,432.50 = 1,873,432.50 : x
  2. Step 2: Convert to fraction form
    862,102.50/1,873,432.50 = 1,873,432.50/x
  3. Step 3: Cross multiply
    862,102.50x = 1,873,432.50 × 1,873,432.50
  4. Step 4: Simplify right side
    862,102.50x = 3,509,749,332,056.25
  5. Step 5: Solve for x
    x = 3,509,749,332,056.25/862,102.50
  6. Step 6: Final answer
    x = 4,071,150.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.