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Finding the Third Proportional to 553,213 and 1,206,962

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Solution

The third proportional to 553,213 and 1,206,962 is: 2,633,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,213 : 1,206,962 = 1,206,962 : x
  2. Step 2: Convert to fraction form
    553,213/1,206,962 = 1,206,962/x
  3. Step 3: Cross multiply
    553,213x = 1,206,962 × 1,206,962
  4. Step 4: Simplify right side
    553,213x = 1,456,757,269,444
  5. Step 5: Solve for x
    x = 1,456,757,269,444/553,213
  6. Step 6: Final answer
    x = 2,633,266.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.