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Finding the Third Proportional to 401,035 and 891,726

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Solution

The third proportional to 401,035 and 891,726 is: 1,982,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,035 : 891,726 = 891,726 : x
  2. Step 2: Convert to fraction form
    401,035/891,726 = 891,726/x
  3. Step 3: Cross multiply
    401,035x = 891,726 × 891,726
  4. Step 4: Simplify right side
    401,035x = 795,175,259,076
  5. Step 5: Solve for x
    x = 795,175,259,076/401,035
  6. Step 6: Final answer
    x = 1,982,807.63

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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.