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Finding the Third Proportional to 2,166,288 and 4,694,160

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Solution

The third proportional to 2,166,288 and 4,694,160 is: 10,171,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166,288 : 4,694,160 = 4,694,160 : x
  2. Step 2: Convert to fraction form
    2,166,288/4,694,160 = 4,694,160/x
  3. Step 3: Cross multiply
    2,166,288x = 4,694,160 × 4,694,160
  4. Step 4: Simplify right side
    2,166,288x = 22,035,138,105,600
  5. Step 5: Solve for x
    x = 22,035,138,105,600/2,166,288
  6. Step 6: Final answer
    x = 10,171,841.47

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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.