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Finding the Third Proportional to 835,164 and 1,820,880

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Solution

The third proportional to 835,164 and 1,820,880 is: 3,970,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,164 : 1,820,880 = 1,820,880 : x
  2. Step 2: Convert to fraction form
    835,164/1,820,880 = 1,820,880/x
  3. Step 3: Cross multiply
    835,164x = 1,820,880 × 1,820,880
  4. Step 4: Simplify right side
    835,164x = 3,315,603,974,400
  5. Step 5: Solve for x
    x = 3,315,603,974,400/835,164
  6. Step 6: Final answer
    x = 3,970,003.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.