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Finding the Third Proportional to 1,643,120 and 2,197,812

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Solution

The third proportional to 1,643,120 and 2,197,812 is: 2,939,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,120 : 2,197,812 = 2,197,812 : x
  2. Step 2: Convert to fraction form
    1,643,120/2,197,812 = 2,197,812/x
  3. Step 3: Cross multiply
    1,643,120x = 2,197,812 × 2,197,812
  4. Step 4: Simplify right side
    1,643,120x = 4,830,377,587,344
  5. Step 5: Solve for x
    x = 4,830,377,587,344/1,643,120
  6. Step 6: Final answer
    x = 2,939,759.47

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.