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Finding the Third Proportional to 1,628,926 and 2,142,069

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Solution

The third proportional to 1,628,926 and 2,142,069 is: 2,816,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628,926 : 2,142,069 = 2,142,069 : x
  2. Step 2: Convert to fraction form
    1,628,926/2,142,069 = 2,142,069/x
  3. Step 3: Cross multiply
    1,628,926x = 2,142,069 × 2,142,069
  4. Step 4: Simplify right side
    1,628,926x = 4,588,459,600,761
  5. Step 5: Solve for x
    x = 4,588,459,600,761/1,628,926
  6. Step 6: Final answer
    x = 2,816,861.91

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.