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Finding the Third Proportional to 2,463,774 and 3,685,617

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Solution

The third proportional to 2,463,774 and 3,685,617 is: 5,513,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,774 : 3,685,617 = 3,685,617 : x
  2. Step 2: Convert to fraction form
    2,463,774/3,685,617 = 3,685,617/x
  3. Step 3: Cross multiply
    2,463,774x = 3,685,617 × 3,685,617
  4. Step 4: Simplify right side
    2,463,774x = 13,583,772,670,689
  5. Step 5: Solve for x
    x = 13,583,772,670,689/2,463,774
  6. Step 6: Final answer
    x = 5,513,400.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.