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Finding the Third Proportional to 460,664 and 996,782

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Solution

The third proportional to 460,664 and 996,782 is: 2,156,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,664 : 996,782 = 996,782 : x
  2. Step 2: Convert to fraction form
    460,664/996,782 = 996,782/x
  3. Step 3: Cross multiply
    460,664x = 996,782 × 996,782
  4. Step 4: Simplify right side
    460,664x = 993,574,355,524
  5. Step 5: Solve for x
    x = 993,574,355,524/460,664
  6. Step 6: Final answer
    x = 2,156,830.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.