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Finding the Third Proportional to 844,473 and 1,244,451

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Solution

The third proportional to 844,473 and 1,244,451 is: 1,833,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,473 : 1,244,451 = 1,244,451 : x
  2. Step 2: Convert to fraction form
    844,473/1,244,451 = 1,244,451/x
  3. Step 3: Cross multiply
    844,473x = 1,244,451 × 1,244,451
  4. Step 4: Simplify right side
    844,473x = 1,548,658,291,401
  5. Step 5: Solve for x
    x = 1,548,658,291,401/844,473
  6. Step 6: Final answer
    x = 1,833,875.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.