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Finding the Third Proportional to 1,605,416 and 2,186,652

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Solution

The third proportional to 1,605,416 and 2,186,652 is: 2,978,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,416 : 2,186,652 = 2,186,652 : x
  2. Step 2: Convert to fraction form
    1,605,416/2,186,652 = 2,186,652/x
  3. Step 3: Cross multiply
    1,605,416x = 2,186,652 × 2,186,652
  4. Step 4: Simplify right side
    1,605,416x = 4,781,446,969,104
  5. Step 5: Solve for x
    x = 4,781,446,969,104/1,605,416
  6. Step 6: Final answer
    x = 2,978,322.73

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.