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Finding the Third Proportional to 494,124 and 1,078,604

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Solution

The third proportional to 494,124 and 1,078,604 is: 2,354,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,124 : 1,078,604 = 1,078,604 : x
  2. Step 2: Convert to fraction form
    494,124/1,078,604 = 1,078,604/x
  3. Step 3: Cross multiply
    494,124x = 1,078,604 × 1,078,604
  4. Step 4: Simplify right side
    494,124x = 1,163,386,588,816
  5. Step 5: Solve for x
    x = 1,163,386,588,816/494,124
  6. Step 6: Final answer
    x = 2,354,442.59

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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.