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Finding the Third Proportional to 444,648 and 973,624

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Solution

The third proportional to 444,648 and 973,624 is: 2,131,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,648 : 973,624 = 973,624 : x
  2. Step 2: Convert to fraction form
    444,648/973,624 = 973,624/x
  3. Step 3: Cross multiply
    444,648x = 973,624 × 973,624
  4. Step 4: Simplify right side
    444,648x = 947,943,693,376
  5. Step 5: Solve for x
    x = 947,943,693,376/444,648
  6. Step 6: Final answer
    x = 2,131,896.90

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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.