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Finding the Third Proportional to 507,379 and 1,094,082

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Solution

The third proportional to 507,379 and 1,094,082 is: 2,359,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,379 : 1,094,082 = 1,094,082 : x
  2. Step 2: Convert to fraction form
    507,379/1,094,082 = 1,094,082/x
  3. Step 3: Cross multiply
    507,379x = 1,094,082 × 1,094,082
  4. Step 4: Simplify right side
    507,379x = 1,197,015,422,724
  5. Step 5: Solve for x
    x = 1,197,015,422,724/507,379
  6. Step 6: Final answer
    x = 2,359,213.57

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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.