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Finding the Third Proportional to 684,000 and 1,022,172

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Solution

The third proportional to 684,000 and 1,022,172 is: 1,527,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,000 : 1,022,172 = 1,022,172 : x
  2. Step 2: Convert to fraction form
    684,000/1,022,172 = 1,022,172/x
  3. Step 3: Cross multiply
    684,000x = 1,022,172 × 1,022,172
  4. Step 4: Simplify right side
    684,000x = 1,044,835,597,584
  5. Step 5: Solve for x
    x = 1,044,835,597,584/684,000
  6. Step 6: Final answer
    x = 1,527,537.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.