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Finding the Third Proportional to 845,814 and 1,823,664

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Solution

The third proportional to 845,814 and 1,823,664 is: 3,932,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,814 : 1,823,664 = 1,823,664 : x
  2. Step 2: Convert to fraction form
    845,814/1,823,664 = 1,823,664/x
  3. Step 3: Cross multiply
    845,814x = 1,823,664 × 1,823,664
  4. Step 4: Simplify right side
    845,814x = 3,325,750,384,896
  5. Step 5: Solve for x
    x = 3,325,750,384,896/845,814
  6. Step 6: Final answer
    x = 3,932,011.51

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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.