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Finding the Third Proportional to 828,923 and 1,246,460

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Solution

The third proportional to 828,923 and 1,246,460 is: 1,874,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,923 : 1,246,460 = 1,246,460 : x
  2. Step 2: Convert to fraction form
    828,923/1,246,460 = 1,246,460/x
  3. Step 3: Cross multiply
    828,923x = 1,246,460 × 1,246,460
  4. Step 4: Simplify right side
    828,923x = 1,553,662,531,600
  5. Step 5: Solve for x
    x = 1,553,662,531,600/828,923
  6. Step 6: Final answer
    x = 1,874,314.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.