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Finding the Third Proportional to 444,611 and 973,948

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Solution

The third proportional to 444,611 and 973,948 is: 2,133,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,611 : 973,948 = 973,948 : x
  2. Step 2: Convert to fraction form
    444,611/973,948 = 973,948/x
  3. Step 3: Cross multiply
    444,611x = 973,948 × 973,948
  4. Step 4: Simplify right side
    444,611x = 948,574,706,704
  5. Step 5: Solve for x
    x = 948,574,706,704/444,611
  6. Step 6: Final answer
    x = 2,133,493.56

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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.