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Finding the Third Proportional to 467,516 and 993,280

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Solution

The third proportional to 467,516 and 993,280 is: 2,110,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,516 : 993,280 = 993,280 : x
  2. Step 2: Convert to fraction form
    467,516/993,280 = 993,280/x
  3. Step 3: Cross multiply
    467,516x = 993,280 × 993,280
  4. Step 4: Simplify right side
    467,516x = 986,605,158,400
  5. Step 5: Solve for x
    x = 986,605,158,400/467,516
  6. Step 6: Final answer
    x = 2,110,313.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.