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Finding the Third Proportional to 629,100.90 and 961,947.77

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Solution

The third proportional to 629,100.90 and 961,947.77 is: 1,470,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,100.90 : 961,947.77 = 961,947.77 : x
  2. Step 2: Convert to fraction form
    629,100.90/961,947.77 = 961,947.77/x
  3. Step 3: Cross multiply
    629,100.90x = 961,947.77 × 961,947.77
  4. Step 4: Simplify right side
    629,100.90x = 925,343,518,821.36
  5. Step 5: Solve for x
    x = 925,343,518,821.36/629,100.90
  6. Step 6: Final answer
    x = 1,470,898.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.