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Finding the Third Proportional to 401,092 and 891,840

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Solution

The third proportional to 401,092 and 891,840 is: 1,983,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,092 : 891,840 = 891,840 : x
  2. Step 2: Convert to fraction form
    401,092/891,840 = 891,840/x
  3. Step 3: Cross multiply
    401,092x = 891,840 × 891,840
  4. Step 4: Simplify right side
    401,092x = 795,378,585,600
  5. Step 5: Solve for x
    x = 795,378,585,600/401,092
  6. Step 6: Final answer
    x = 1,983,032.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.