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Finding the Third Proportional to 845,811 and 1,823,659

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Solution

The third proportional to 845,811 and 1,823,659 is: 3,932,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,811 : 1,823,659 = 1,823,659 : x
  2. Step 2: Convert to fraction form
    845,811/1,823,659 = 1,823,659/x
  3. Step 3: Cross multiply
    845,811x = 1,823,659 × 1,823,659
  4. Step 4: Simplify right side
    845,811x = 3,325,732,148,281
  5. Step 5: Solve for x
    x = 3,325,732,148,281/845,811
  6. Step 6: Final answer
    x = 3,932,003.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.