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Finding the Third Proportional to 2,374,218 and 3,678,613

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Solution

The third proportional to 2,374,218 and 3,678,613 is: 5,699,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374,218 : 3,678,613 = 3,678,613 : x
  2. Step 2: Convert to fraction form
    2,374,218/3,678,613 = 3,678,613/x
  3. Step 3: Cross multiply
    2,374,218x = 3,678,613 × 3,678,613
  4. Step 4: Simplify right side
    2,374,218x = 13,532,193,603,769
  5. Step 5: Solve for x
    x = 13,532,193,603,769/2,374,218
  6. Step 6: Final answer
    x = 5,699,642.41

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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.