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Finding the Third Proportional to 2,182,870 and 4,591,964

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Solution

The third proportional to 2,182,870 and 4,591,964 is: 9,659,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,870 : 4,591,964 = 4,591,964 : x
  2. Step 2: Convert to fraction form
    2,182,870/4,591,964 = 4,591,964/x
  3. Step 3: Cross multiply
    2,182,870x = 4,591,964 × 4,591,964
  4. Step 4: Simplify right side
    2,182,870x = 21,086,133,377,296
  5. Step 5: Solve for x
    x = 21,086,133,377,296/2,182,870
  6. Step 6: Final answer
    x = 9,659,820.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.