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Finding the Third Proportional to 1,720,234.97 and 4,017,644.30

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Solution

The third proportional to 1,720,234.97 and 4,017,644.30 is: 9,383,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720,234.97 : 4,017,644.30 = 4,017,644.30 : x
  2. Step 2: Convert to fraction form
    1,720,234.97/4,017,644.30 = 4,017,644.30/x
  3. Step 3: Cross multiply
    1,720,234.97x = 4,017,644.30 × 4,017,644.30
  4. Step 4: Simplify right side
    1,720,234.97x = 16,141,465,696,212.21
  5. Step 5: Solve for x
    x = 16,141,465,696,212.21/1,720,234.97
  6. Step 6: Final answer
    x = 9,383,291.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.