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Finding the Third Proportional to 845,114 and 1,158,795

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Solution

The third proportional to 845,114 and 1,158,795 is: 1,588,904.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,114 : 1,158,795 = 1,158,795 : x
  2. Step 2: Convert to fraction form
    845,114/1,158,795 = 1,158,795/x
  3. Step 3: Cross multiply
    845,114x = 1,158,795 × 1,158,795
  4. Step 4: Simplify right side
    845,114x = 1,342,805,852,025
  5. Step 5: Solve for x
    x = 1,342,805,852,025/845,114
  6. Step 6: Final answer
    x = 1,588,904.99

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