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Finding the Third Proportional to 845,694 and 1,159,677

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Solution

The third proportional to 845,694 and 1,159,677 is: 1,590,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,694 : 1,159,677 = 1,159,677 : x
  2. Step 2: Convert to fraction form
    845,694/1,159,677 = 1,159,677/x
  3. Step 3: Cross multiply
    845,694x = 1,159,677 × 1,159,677
  4. Step 4: Simplify right side
    845,694x = 1,344,850,744,329
  5. Step 5: Solve for x
    x = 1,344,850,744,329/845,694
  6. Step 6: Final answer
    x = 1,590,233.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.