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Finding the Third Proportional to 576,470,320 and 892,279,176

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Solution

The third proportional to 576,470,320 and 892,279,176 is: 1,381,098,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,470,320 : 892,279,176 = 892,279,176 : x
  2. Step 2: Convert to fraction form
    576,470,320/892,279,176 = 892,279,176/x
  3. Step 3: Cross multiply
    576,470,320x = 892,279,176 × 892,279,176
  4. Step 4: Simplify right side
    576,470,320x = 796,162,127,923,238,912
  5. Step 5: Solve for x
    x = 796,162,127,923,238,912/576,470,320
  6. Step 6: Final answer
    x = 1,381,098,211.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.