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Finding the Third Proportional to 444,649 and 973,619

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Solution

The third proportional to 444,649 and 973,619 is: 2,131,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,649 : 973,619 = 973,619 : x
  2. Step 2: Convert to fraction form
    444,649/973,619 = 973,619/x
  3. Step 3: Cross multiply
    444,649x = 973,619 × 973,619
  4. Step 4: Simplify right side
    444,649x = 947,933,957,161
  5. Step 5: Solve for x
    x = 947,933,957,161/444,649
  6. Step 6: Final answer
    x = 2,131,870.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.