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Finding the Third Proportional to 507,423 and 1,115,286

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Solution

The third proportional to 507,423 and 1,115,286 is: 2,451,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,423 : 1,115,286 = 1,115,286 : x
  2. Step 2: Convert to fraction form
    507,423/1,115,286 = 1,115,286/x
  3. Step 3: Cross multiply
    507,423x = 1,115,286 × 1,115,286
  4. Step 4: Simplify right side
    507,423x = 1,243,862,861,796
  5. Step 5: Solve for x
    x = 1,243,862,861,796/507,423
  6. Step 6: Final answer
    x = 2,451,333.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.