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Finding the Third Proportional to 1,713,535.86 and 3,722,470.49

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Solution

The third proportional to 1,713,535.86 and 3,722,470.49 is: 8,086,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713,535.86 : 3,722,470.49 = 3,722,470.49 : x
  2. Step 2: Convert to fraction form
    1,713,535.86/3,722,470.49 = 3,722,470.49/x
  3. Step 3: Cross multiply
    1,713,535.86x = 3,722,470.49 × 3,722,470.49
  4. Step 4: Simplify right side
    1,713,535.86x = 13,856,786,536,124.48
  5. Step 5: Solve for x
    x = 13,856,786,536,124.48/1,713,535.86
  6. Step 6: Final answer
    x = 8,086,662.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.