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Finding the Third Proportional to 637,869 and 1,027,764

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Solution

The third proportional to 637,869 and 1,027,764 is: 1,655,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,869 : 1,027,764 = 1,027,764 : x
  2. Step 2: Convert to fraction form
    637,869/1,027,764 = 1,027,764/x
  3. Step 3: Cross multiply
    637,869x = 1,027,764 × 1,027,764
  4. Step 4: Simplify right side
    637,869x = 1,056,298,839,696
  5. Step 5: Solve for x
    x = 1,056,298,839,696/637,869
  6. Step 6: Final answer
    x = 1,655,980.84

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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.