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Finding the Third Proportional to 637,874 and 1,027,772

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Solution

The third proportional to 637,874 and 1,027,772 is: 1,655,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,874 : 1,027,772 = 1,027,772 : x
  2. Step 2: Convert to fraction form
    637,874/1,027,772 = 1,027,772/x
  3. Step 3: Cross multiply
    637,874x = 1,027,772 × 1,027,772
  4. Step 4: Simplify right side
    637,874x = 1,056,315,283,984
  5. Step 5: Solve for x
    x = 1,056,315,283,984/637,874
  6. Step 6: Final answer
    x = 1,655,993.64

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.