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Finding the Third Proportional to 823,671.28 and 1,780,584.40

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Solution

The third proportional to 823,671.28 and 1,780,584.40 is: 3,849,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,671.28 : 1,780,584.40 = 1,780,584.40 : x
  2. Step 2: Convert to fraction form
    823,671.28/1,780,584.40 = 1,780,584.40/x
  3. Step 3: Cross multiply
    823,671.28x = 1,780,584.40 × 1,780,584.40
  4. Step 4: Simplify right side
    823,671.28x = 3,170,480,799,959.03
  5. Step 5: Solve for x
    x = 3,170,480,799,959.03/823,671.28
  6. Step 6: Final answer
    x = 3,849,206.44

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