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Finding the Third Proportional to 401,463 and 891,486

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Solution

The third proportional to 401,463 and 891,486 is: 1,979,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,463 : 891,486 = 891,486 : x
  2. Step 2: Convert to fraction form
    401,463/891,486 = 891,486/x
  3. Step 3: Cross multiply
    401,463x = 891,486 × 891,486
  4. Step 4: Simplify right side
    401,463x = 794,747,288,196
  5. Step 5: Solve for x
    x = 794,747,288,196/401,463
  6. Step 6: Final answer
    x = 1,979,627.73

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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.