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Finding the Third Proportional to 441,303 and 942,851

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Solution

The third proportional to 441,303 and 942,851 is: 2,014,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,303 : 942,851 = 942,851 : x
  2. Step 2: Convert to fraction form
    441,303/942,851 = 942,851/x
  3. Step 3: Cross multiply
    441,303x = 942,851 × 942,851
  4. Step 4: Simplify right side
    441,303x = 888,968,008,201
  5. Step 5: Solve for x
    x = 888,968,008,201/441,303
  6. Step 6: Final answer
    x = 2,014,416.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.