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Finding the Third Proportional to 846,726.75 and 1,831,470.75

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Solution

The third proportional to 846,726.75 and 1,831,470.75 is: 3,961,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,726.75 : 1,831,470.75 = 1,831,470.75 : x
  2. Step 2: Convert to fraction form
    846,726.75/1,831,470.75 = 1,831,470.75/x
  3. Step 3: Cross multiply
    846,726.75x = 1,831,470.75 × 1,831,470.75
  4. Step 4: Simplify right side
    846,726.75x = 3,354,285,108,105.56
  5. Step 5: Solve for x
    x = 3,354,285,108,105.56/846,726.75
  6. Step 6: Final answer
    x = 3,961,472.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.