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Finding the Third Proportional to 550,410 and 1,212,558

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Solution

The third proportional to 550,410 and 1,212,558 is: 2,671,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,410 : 1,212,558 = 1,212,558 : x
  2. Step 2: Convert to fraction form
    550,410/1,212,558 = 1,212,558/x
  3. Step 3: Cross multiply
    550,410x = 1,212,558 × 1,212,558
  4. Step 4: Simplify right side
    550,410x = 1,470,296,903,364
  5. Step 5: Solve for x
    x = 1,470,296,903,364/550,410
  6. Step 6: Final answer
    x = 2,671,275.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.