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Finding the Third Proportional to 2,374,220 and 3,678,616

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Solution

The third proportional to 2,374,220 and 3,678,616 is: 5,699,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374,220 : 3,678,616 = 3,678,616 : x
  2. Step 2: Convert to fraction form
    2,374,220/3,678,616 = 3,678,616/x
  3. Step 3: Cross multiply
    2,374,220x = 3,678,616 × 3,678,616
  4. Step 4: Simplify right side
    2,374,220x = 13,532,215,675,456
  5. Step 5: Solve for x
    x = 13,532,215,675,456/2,374,220
  6. Step 6: Final answer
    x = 5,699,646.91

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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.