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Finding the Third Proportional to 466,101 and 979,236

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Solution

The third proportional to 466,101 and 979,236 is: 2,057,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,101 : 979,236 = 979,236 : x
  2. Step 2: Convert to fraction form
    466,101/979,236 = 979,236/x
  3. Step 3: Cross multiply
    466,101x = 979,236 × 979,236
  4. Step 4: Simplify right side
    466,101x = 958,903,143,696
  5. Step 5: Solve for x
    x = 958,903,143,696/466,101
  6. Step 6: Final answer
    x = 2,057,286.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.