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Finding the Third Proportional to 494,282 and 1,078,777

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Solution

The third proportional to 494,282 and 1,078,777 is: 2,354,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,282 : 1,078,777 = 1,078,777 : x
  2. Step 2: Convert to fraction form
    494,282/1,078,777 = 1,078,777/x
  3. Step 3: Cross multiply
    494,282x = 1,078,777 × 1,078,777
  4. Step 4: Simplify right side
    494,282x = 1,163,759,815,729
  5. Step 5: Solve for x
    x = 1,163,759,815,729/494,282
  6. Step 6: Final answer
    x = 2,354,445.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.