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Finding the Third Proportional to 767,646 and 1,623,867

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Solution

The third proportional to 767,646 and 1,623,867 is: 3,435,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,646 : 1,623,867 = 1,623,867 : x
  2. Step 2: Convert to fraction form
    767,646/1,623,867 = 1,623,867/x
  3. Step 3: Cross multiply
    767,646x = 1,623,867 × 1,623,867
  4. Step 4: Simplify right side
    767,646x = 2,636,944,033,689
  5. Step 5: Solve for x
    x = 2,636,944,033,689/767,646
  6. Step 6: Final answer
    x = 3,435,104.25

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.