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Finding the Third Proportional to 467,031 and 989,595

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Solution

The third proportional to 467,031 and 989,595 is: 2,096,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,031 : 989,595 = 989,595 : x
  2. Step 2: Convert to fraction form
    467,031/989,595 = 989,595/x
  3. Step 3: Cross multiply
    467,031x = 989,595 × 989,595
  4. Step 4: Simplify right side
    467,031x = 979,298,264,025
  5. Step 5: Solve for x
    x = 979,298,264,025/467,031
  6. Step 6: Final answer
    x = 2,096,859.23

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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.