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Finding the Third Proportional to 1,406,028 and 2,099,839.50

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Solution

The third proportional to 1,406,028 and 2,099,839.50 is: 3,136,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,028 : 2,099,839.50 = 2,099,839.50 : x
  2. Step 2: Convert to fraction form
    1,406,028/2,099,839.50 = 2,099,839.50/x
  3. Step 3: Cross multiply
    1,406,028x = 2,099,839.50 × 2,099,839.50
  4. Step 4: Simplify right side
    1,406,028x = 4,409,325,925,760.25
  5. Step 5: Solve for x
    x = 4,409,325,925,760.25/1,406,028
  6. Step 6: Final answer
    x = 3,136,015.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.