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Finding the Third Proportional to 507,936 and 1,115,556

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Solution

The third proportional to 507,936 and 1,115,556 is: 2,450,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,936 : 1,115,556 = 1,115,556 : x
  2. Step 2: Convert to fraction form
    507,936/1,115,556 = 1,115,556/x
  3. Step 3: Cross multiply
    507,936x = 1,115,556 × 1,115,556
  4. Step 4: Simplify right side
    507,936x = 1,244,465,189,136
  5. Step 5: Solve for x
    x = 1,244,465,189,136/507,936
  6. Step 6: Final answer
    x = 2,450,043.29

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Why These Related Problems?

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