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Finding the Third Proportional to 550,424 and 1,212,586

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Solution

The third proportional to 550,424 and 1,212,586 is: 2,671,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,424 : 1,212,586 = 1,212,586 : x
  2. Step 2: Convert to fraction form
    550,424/1,212,586 = 1,212,586/x
  3. Step 3: Cross multiply
    550,424x = 1,212,586 × 1,212,586
  4. Step 4: Simplify right side
    550,424x = 1,470,364,807,396
  5. Step 5: Solve for x
    x = 1,470,364,807,396/550,424
  6. Step 6: Final answer
    x = 2,671,331.21

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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.