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Finding the Third Proportional to 470,024 and 993,624

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Solution

The third proportional to 470,024 and 993,624 is: 2,100,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,024 : 993,624 = 993,624 : x
  2. Step 2: Convert to fraction form
    470,024/993,624 = 993,624/x
  3. Step 3: Cross multiply
    470,024x = 993,624 × 993,624
  4. Step 4: Simplify right side
    470,024x = 987,288,653,376
  5. Step 5: Solve for x
    x = 987,288,653,376/470,024
  6. Step 6: Final answer
    x = 2,100,506.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.