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Finding the Third Proportional to 845,831 and 1,774,695

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Solution

The third proportional to 845,831 and 1,774,695 is: 3,723,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,831 : 1,774,695 = 1,774,695 : x
  2. Step 2: Convert to fraction form
    845,831/1,774,695 = 1,774,695/x
  3. Step 3: Cross multiply
    845,831x = 1,774,695 × 1,774,695
  4. Step 4: Simplify right side
    845,831x = 3,149,542,343,025
  5. Step 5: Solve for x
    x = 3,149,542,343,025/845,831
  6. Step 6: Final answer
    x = 3,723,607.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.