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Finding the Third Proportional to 449,216 and 973,126

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Solution

The third proportional to 449,216 and 973,126 is: 2,108,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,216 : 973,126 = 973,126 : x
  2. Step 2: Convert to fraction form
    449,216/973,126 = 973,126/x
  3. Step 3: Cross multiply
    449,216x = 973,126 × 973,126
  4. Step 4: Simplify right side
    449,216x = 946,974,211,876
  5. Step 5: Solve for x
    x = 946,974,211,876/449,216
  6. Step 6: Final answer
    x = 2,108,059.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.