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Finding the Third Proportional to 1,643,354 and 3,589,143

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Solution

The third proportional to 1,643,354 and 3,589,143 is: 7,838,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,354 : 3,589,143 = 3,589,143 : x
  2. Step 2: Convert to fraction form
    1,643,354/3,589,143 = 3,589,143/x
  3. Step 3: Cross multiply
    1,643,354x = 3,589,143 × 3,589,143
  4. Step 4: Simplify right side
    1,643,354x = 12,881,947,474,449
  5. Step 5: Solve for x
    x = 12,881,947,474,449/1,643,354
  6. Step 6: Final answer
    x = 7,838,814.69

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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.