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Finding the Third Proportional to 494,444 and 1,063,408

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Solution

The third proportional to 494,444 and 1,063,408 is: 2,287,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,444 : 1,063,408 = 1,063,408 : x
  2. Step 2: Convert to fraction form
    494,444/1,063,408 = 1,063,408/x
  3. Step 3: Cross multiply
    494,444x = 1,063,408 × 1,063,408
  4. Step 4: Simplify right side
    494,444x = 1,130,836,574,464
  5. Step 5: Solve for x
    x = 1,130,836,574,464/494,444
  6. Step 6: Final answer
    x = 2,287,087.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.