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Finding the Third Proportional to 496,176 and 1,034,336

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Solution

The third proportional to 496,176 and 1,034,336 is: 2,156,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,176 : 1,034,336 = 1,034,336 : x
  2. Step 2: Convert to fraction form
    496,176/1,034,336 = 1,034,336/x
  3. Step 3: Cross multiply
    496,176x = 1,034,336 × 1,034,336
  4. Step 4: Simplify right side
    496,176x = 1,069,850,960,896
  5. Step 5: Solve for x
    x = 1,069,850,960,896/496,176
  6. Step 6: Final answer
    x = 2,156,192.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.