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Finding the Third Proportional to 739,116 and 1,029,774

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Solution

The third proportional to 739,116 and 1,029,774 is: 1,434,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,116 : 1,029,774 = 1,029,774 : x
  2. Step 2: Convert to fraction form
    739,116/1,029,774 = 1,029,774/x
  3. Step 3: Cross multiply
    739,116x = 1,029,774 × 1,029,774
  4. Step 4: Simplify right side
    739,116x = 1,060,434,491,076
  5. Step 5: Solve for x
    x = 1,060,434,491,076/739,116
  6. Step 6: Final answer
    x = 1,434,733.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.