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Finding the Third Proportional to 518,805 and 1,136,025

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Solution

The third proportional to 518,805 and 1,136,025 is: 2,487,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,805 : 1,136,025 = 1,136,025 : x
  2. Step 2: Convert to fraction form
    518,805/1,136,025 = 1,136,025/x
  3. Step 3: Cross multiply
    518,805x = 1,136,025 × 1,136,025
  4. Step 4: Simplify right side
    518,805x = 1,290,552,800,625
  5. Step 5: Solve for x
    x = 1,290,552,800,625/518,805
  6. Step 6: Final answer
    x = 2,487,548.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.