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Finding the Third Proportional to 655,212 and 1,028,022

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Solution

The third proportional to 655,212 and 1,028,022 is: 1,612,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,212 : 1,028,022 = 1,028,022 : x
  2. Step 2: Convert to fraction form
    655,212/1,028,022 = 1,028,022/x
  3. Step 3: Cross multiply
    655,212x = 1,028,022 × 1,028,022
  4. Step 4: Simplify right side
    655,212x = 1,056,829,232,484
  5. Step 5: Solve for x
    x = 1,056,829,232,484/655,212
  6. Step 6: Final answer
    x = 1,612,957.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.