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Finding the Third Proportional to 820,831.50 and 1,755,148.50

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Solution

The third proportional to 820,831.50 and 1,755,148.50 is: 3,752,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,831.50 : 1,755,148.50 = 1,755,148.50 : x
  2. Step 2: Convert to fraction form
    820,831.50/1,755,148.50 = 1,755,148.50/x
  3. Step 3: Cross multiply
    820,831.50x = 1,755,148.50 × 1,755,148.50
  4. Step 4: Simplify right side
    820,831.50x = 3,080,546,257,052.25
  5. Step 5: Solve for x
    x = 3,080,546,257,052.25/820,831.50
  6. Step 6: Final answer
    x = 3,752,958.14

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.