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Finding the Third Proportional to 410,502 and 882,126

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Solution

The third proportional to 410,502 and 882,126 is: 1,895,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,502 : 882,126 = 882,126 : x
  2. Step 2: Convert to fraction form
    410,502/882,126 = 882,126/x
  3. Step 3: Cross multiply
    410,502x = 882,126 × 882,126
  4. Step 4: Simplify right side
    410,502x = 778,146,279,876
  5. Step 5: Solve for x
    x = 778,146,279,876/410,502
  6. Step 6: Final answer
    x = 1,895,596.81

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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.