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Finding the Third Proportional to 507,453 and 1,091,451

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Solution

The third proportional to 507,453 and 1,091,451 is: 2,347,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,453 : 1,091,451 = 1,091,451 : x
  2. Step 2: Convert to fraction form
    507,453/1,091,451 = 1,091,451/x
  3. Step 3: Cross multiply
    507,453x = 1,091,451 × 1,091,451
  4. Step 4: Simplify right side
    507,453x = 1,191,265,285,401
  5. Step 5: Solve for x
    x = 1,191,265,285,401/507,453
  6. Step 6: Final answer
    x = 2,347,538.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.