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Finding the Third Proportional to 460,624 and 996,697

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Solution

The third proportional to 460,624 and 996,697 is: 2,156,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,624 : 996,697 = 996,697 : x
  2. Step 2: Convert to fraction form
    460,624/996,697 = 996,697/x
  3. Step 3: Cross multiply
    460,624x = 996,697 × 996,697
  4. Step 4: Simplify right side
    460,624x = 993,404,909,809
  5. Step 5: Solve for x
    x = 993,404,909,809/460,624
  6. Step 6: Final answer
    x = 2,156,650.35

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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.