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Finding the Third Proportional to 787,323.75 and 1,727,190

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Solution

The third proportional to 787,323.75 and 1,727,190 is: 3,789,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,323.75 : 1,727,190 = 1,727,190 : x
  2. Step 2: Convert to fraction form
    787,323.75/1,727,190 = 1,727,190/x
  3. Step 3: Cross multiply
    787,323.75x = 1,727,190 × 1,727,190
  4. Step 4: Simplify right side
    787,323.75x = 2,983,185,296,100
  5. Step 5: Solve for x
    x = 2,983,185,296,100/787,323.75
  6. Step 6: Final answer
    x = 3,789,019.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.