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Finding the Third Proportional to 1,660,869 and 3,597,213

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Solution

The third proportional to 1,660,869 and 3,597,213 is: 7,791,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660,869 : 3,597,213 = 3,597,213 : x
  2. Step 2: Convert to fraction form
    1,660,869/3,597,213 = 3,597,213/x
  3. Step 3: Cross multiply
    1,660,869x = 3,597,213 × 3,597,213
  4. Step 4: Simplify right side
    1,660,869x = 12,939,941,367,369
  5. Step 5: Solve for x
    x = 12,939,941,367,369/1,660,869
  6. Step 6: Final answer
    x = 7,791,066.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.