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Finding the Third Proportional to 664,786.13 and 973,594.13

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Solution

The third proportional to 664,786.13 and 973,594.13 is: 1,425,850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,786.13 : 973,594.13 = 973,594.13 : x
  2. Step 2: Convert to fraction form
    664,786.13/973,594.13 = 973,594.13/x
  3. Step 3: Cross multiply
    664,786.13x = 973,594.13 × 973,594.13
  4. Step 4: Simplify right side
    664,786.13x = 947,885,520,234.52
  5. Step 5: Solve for x
    x = 947,885,520,234.52/664,786.13
  6. Step 6: Final answer
    x = 1,425,850.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.