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Finding the Third Proportional to 1,429,924.50 and 2,096,772.75

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Solution

The third proportional to 1,429,924.50 and 2,096,772.75 is: 3,074,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,924.50 : 2,096,772.75 = 2,096,772.75 : x
  2. Step 2: Convert to fraction form
    1,429,924.50/2,096,772.75 = 2,096,772.75/x
  3. Step 3: Cross multiply
    1,429,924.50x = 2,096,772.75 × 2,096,772.75
  4. Step 4: Simplify right side
    1,429,924.50x = 4,396,455,965,142.56
  5. Step 5: Solve for x
    x = 4,396,455,965,142.56/1,429,924.50
  6. Step 6: Final answer
    x = 3,074,607.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.