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Finding the Third Proportional to 828,778.50 and 1,246,257

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Solution

The third proportional to 828,778.50 and 1,246,257 is: 1,874,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,778.50 : 1,246,257 = 1,246,257 : x
  2. Step 2: Convert to fraction form
    828,778.50/1,246,257 = 1,246,257/x
  3. Step 3: Cross multiply
    828,778.50x = 1,246,257 × 1,246,257
  4. Step 4: Simplify right side
    828,778.50x = 1,553,156,510,049
  5. Step 5: Solve for x
    x = 1,553,156,510,049/828,778.50
  6. Step 6: Final answer
    x = 1,874,030.89

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Why These Related Problems?

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