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Finding the Third Proportional to 507,512 and 1,102,477

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Solution

The third proportional to 507,512 and 1,102,477 is: 2,394,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,512 : 1,102,477 = 1,102,477 : x
  2. Step 2: Convert to fraction form
    507,512/1,102,477 = 1,102,477/x
  3. Step 3: Cross multiply
    507,512x = 1,102,477 × 1,102,477
  4. Step 4: Simplify right side
    507,512x = 1,215,455,535,529
  5. Step 5: Solve for x
    x = 1,215,455,535,529/507,512
  6. Step 6: Final answer
    x = 2,394,929.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.