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Finding the Third Proportional to 444,549 and 973,419

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Solution

The third proportional to 444,549 and 973,419 is: 2,131,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,549 : 973,419 = 973,419 : x
  2. Step 2: Convert to fraction form
    444,549/973,419 = 973,419/x
  3. Step 3: Cross multiply
    444,549x = 973,419 × 973,419
  4. Step 4: Simplify right side
    444,549x = 947,544,549,561
  5. Step 5: Solve for x
    x = 947,544,549,561/444,549
  6. Step 6: Final answer
    x = 2,131,473.81

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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.