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Finding the Third Proportional to 444,553 and 973,426

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Solution

The third proportional to 444,553 and 973,426 is: 2,131,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,553 : 973,426 = 973,426 : x
  2. Step 2: Convert to fraction form
    444,553/973,426 = 973,426/x
  3. Step 3: Cross multiply
    444,553x = 973,426 × 973,426
  4. Step 4: Simplify right side
    444,553x = 947,558,177,476
  5. Step 5: Solve for x
    x = 947,558,177,476/444,553
  6. Step 6: Final answer
    x = 2,131,485.28

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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.