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Finding the Third Proportional to 828,096.75 and 1,246,291.31

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Solution

The third proportional to 828,096.75 and 1,246,291.31 is: 1,875,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,096.75 : 1,246,291.31 = 1,246,291.31 : x
  2. Step 2: Convert to fraction form
    828,096.75/1,246,291.31 = 1,246,291.31/x
  3. Step 3: Cross multiply
    828,096.75x = 1,246,291.31 × 1,246,291.31
  4. Step 4: Simplify right side
    828,096.75x = 1,553,242,035,612.97
  5. Step 5: Solve for x
    x = 1,553,242,035,612.97/828,096.75
  6. Step 6: Final answer
    x = 1,875,677.01

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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.