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Finding the Third Proportional to 845,638 and 1,309,647

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Solution

The third proportional to 845,638 and 1,309,647 is: 2,028,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,638 : 1,309,647 = 1,309,647 : x
  2. Step 2: Convert to fraction form
    845,638/1,309,647 = 1,309,647/x
  3. Step 3: Cross multiply
    845,638x = 1,309,647 × 1,309,647
  4. Step 4: Simplify right side
    845,638x = 1,715,175,264,609
  5. Step 5: Solve for x
    x = 1,715,175,264,609/845,638
  6. Step 6: Final answer
    x = 2,028,261.81

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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.