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Finding the Third Proportional to 550,408 and 1,212,564

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Solution

The third proportional to 550,408 and 1,212,564 is: 2,671,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,408 : 1,212,564 = 1,212,564 : x
  2. Step 2: Convert to fraction form
    550,408/1,212,564 = 1,212,564/x
  3. Step 3: Cross multiply
    550,408x = 1,212,564 × 1,212,564
  4. Step 4: Simplify right side
    550,408x = 1,470,311,454,096
  5. Step 5: Solve for x
    x = 1,470,311,454,096/550,408
  6. Step 6: Final answer
    x = 2,671,311.93

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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.