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Finding the Third Proportional to 1,299,516 and 2,000,022

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Solution

The third proportional to 1,299,516 and 2,000,022 is: 3,078,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,516 : 2,000,022 = 2,000,022 : x
  2. Step 2: Convert to fraction form
    1,299,516/2,000,022 = 2,000,022/x
  3. Step 3: Cross multiply
    1,299,516x = 2,000,022 × 2,000,022
  4. Step 4: Simplify right side
    1,299,516x = 4,000,088,000,484
  5. Step 5: Solve for x
    x = 4,000,088,000,484/1,299,516
  6. Step 6: Final answer
    x = 3,078,136.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.