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Finding the Third Proportional to 652,108 and 1,374,956

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Solution

The third proportional to 652,108 and 1,374,956 is: 2,899,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,108 : 1,374,956 = 1,374,956 : x
  2. Step 2: Convert to fraction form
    652,108/1,374,956 = 1,374,956/x
  3. Step 3: Cross multiply
    652,108x = 1,374,956 × 1,374,956
  4. Step 4: Simplify right side
    652,108x = 1,890,504,001,936
  5. Step 5: Solve for x
    x = 1,890,504,001,936/652,108
  6. Step 6: Final answer
    x = 2,899,065.80

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.