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Finding the Third Proportional to 664,324 and 1,029,126

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Solution

The third proportional to 664,324 and 1,029,126 is: 1,594,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,324 : 1,029,126 = 1,029,126 : x
  2. Step 2: Convert to fraction form
    664,324/1,029,126 = 1,029,126/x
  3. Step 3: Cross multiply
    664,324x = 1,029,126 × 1,029,126
  4. Step 4: Simplify right side
    664,324x = 1,059,100,323,876
  5. Step 5: Solve for x
    x = 1,059,100,323,876/664,324
  6. Step 6: Final answer
    x = 1,594,252.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.