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Finding the Third Proportional to 584,362 and 1,213,652

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Solution

The third proportional to 584,362 and 1,213,652 is: 2,520,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,362 : 1,213,652 = 1,213,652 : x
  2. Step 2: Convert to fraction form
    584,362/1,213,652 = 1,213,652/x
  3. Step 3: Cross multiply
    584,362x = 1,213,652 × 1,213,652
  4. Step 4: Simplify right side
    584,362x = 1,472,951,177,104
  5. Step 5: Solve for x
    x = 1,472,951,177,104/584,362
  6. Step 6: Final answer
    x = 2,520,614.24

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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.