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Finding the Third Proportional to 401,031 and 891,717.75

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Solution

The third proportional to 401,031 and 891,717.75 is: 1,982,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,031 : 891,717.75 = 891,717.75 : x
  2. Step 2: Convert to fraction form
    401,031/891,717.75 = 891,717.75/x
  3. Step 3: Cross multiply
    401,031x = 891,717.75 × 891,717.75
  4. Step 4: Simplify right side
    401,031x = 795,160,545,665.06
  5. Step 5: Solve for x
    x = 795,160,545,665.06/401,031
  6. Step 6: Final answer
    x = 1,982,790.72

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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.