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Finding the Third Proportional to 828,057 and 1,246,231

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Solution

The third proportional to 828,057 and 1,246,231 is: 1,875,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,057 : 1,246,231 = 1,246,231 : x
  2. Step 2: Convert to fraction form
    828,057/1,246,231 = 1,246,231/x
  3. Step 3: Cross multiply
    828,057x = 1,246,231 × 1,246,231
  4. Step 4: Simplify right side
    828,057x = 1,553,091,705,361
  5. Step 5: Solve for x
    x = 1,553,091,705,361/828,057
  6. Step 6: Final answer
    x = 1,875,585.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.