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Finding the Third Proportional to 401,037 and 891,743

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Solution

The third proportional to 401,037 and 891,743 is: 1,982,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,037 : 891,743 = 891,743 : x
  2. Step 2: Convert to fraction form
    401,037/891,743 = 891,743/x
  3. Step 3: Cross multiply
    401,037x = 891,743 × 891,743
  4. Step 4: Simplify right side
    401,037x = 795,205,578,049
  5. Step 5: Solve for x
    x = 795,205,578,049/401,037
  6. Step 6: Final answer
    x = 1,982,873.35

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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.