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Finding the Third Proportional to 767,941 and 1,675,633

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Solution

The third proportional to 767,941 and 1,675,633 is: 3,656,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,941 : 1,675,633 = 1,675,633 : x
  2. Step 2: Convert to fraction form
    767,941/1,675,633 = 1,675,633/x
  3. Step 3: Cross multiply
    767,941x = 1,675,633 × 1,675,633
  4. Step 4: Simplify right side
    767,941x = 2,807,745,950,689
  5. Step 5: Solve for x
    x = 2,807,745,950,689/767,941
  6. Step 6: Final answer
    x = 3,656,200.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.