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Finding the Third Proportional to 507,520 and 1,102,496

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Solution

The third proportional to 507,520 and 1,102,496 is: 2,394,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,520 : 1,102,496 = 1,102,496 : x
  2. Step 2: Convert to fraction form
    507,520/1,102,496 = 1,102,496/x
  3. Step 3: Cross multiply
    507,520x = 1,102,496 × 1,102,496
  4. Step 4: Simplify right side
    507,520x = 1,215,497,430,016
  5. Step 5: Solve for x
    x = 1,215,497,430,016/507,520
  6. Step 6: Final answer
    x = 2,394,974.44

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Why These Related Problems?

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