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Finding the Third Proportional to 2,374,227 and 3,678,624

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Solution

The third proportional to 2,374,227 and 3,678,624 is: 5,699,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374,227 : 3,678,624 = 3,678,624 : x
  2. Step 2: Convert to fraction form
    2,374,227/3,678,624 = 3,678,624/x
  3. Step 3: Cross multiply
    2,374,227x = 3,678,624 × 3,678,624
  4. Step 4: Simplify right side
    2,374,227x = 13,532,274,533,376
  5. Step 5: Solve for x
    x = 13,532,274,533,376/2,374,227
  6. Step 6: Final answer
    x = 5,699,654.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.