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Finding the Third Proportional to 856,863.56 and 1,878,739.31

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Solution

The third proportional to 856,863.56 and 1,878,739.31 is: 4,119,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,863.56 : 1,878,739.31 = 1,878,739.31 : x
  2. Step 2: Convert to fraction form
    856,863.56/1,878,739.31 = 1,878,739.31/x
  3. Step 3: Cross multiply
    856,863.56x = 1,878,739.31 × 1,878,739.31
  4. Step 4: Simplify right side
    856,863.56x = 3,529,661,404,332.97
  5. Step 5: Solve for x
    x = 3,529,661,404,332.97/856,863.56
  6. Step 6: Final answer
    x = 4,119,280.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.