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Finding the Third Proportional to 444,672 and 973,672

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Solution

The third proportional to 444,672 and 973,672 is: 2,131,992.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,672 : 973,672 = 973,672 : x
  2. Step 2: Convert to fraction form
    444,672/973,672 = 973,672/x
  3. Step 3: Cross multiply
    444,672x = 973,672 × 973,672
  4. Step 4: Simplify right side
    444,672x = 948,037,163,584
  5. Step 5: Solve for x
    x = 948,037,163,584/444,672
  6. Step 6: Final answer
    x = 2,131,992.04

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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.