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Finding the Third Proportional to 536,406 and 1,116,903

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Solution

The third proportional to 536,406 and 1,116,903 is: 2,325,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,406 : 1,116,903 = 1,116,903 : x
  2. Step 2: Convert to fraction form
    536,406/1,116,903 = 1,116,903/x
  3. Step 3: Cross multiply
    536,406x = 1,116,903 × 1,116,903
  4. Step 4: Simplify right side
    536,406x = 1,247,472,311,409
  5. Step 5: Solve for x
    x = 1,247,472,311,409/536,406
  6. Step 6: Final answer
    x = 2,325,612.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.