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Finding the Third Proportional to 480,824 and 1,028,351

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Solution

The third proportional to 480,824 and 1,028,351 is: 2,199,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,824 : 1,028,351 = 1,028,351 : x
  2. Step 2: Convert to fraction form
    480,824/1,028,351 = 1,028,351/x
  3. Step 3: Cross multiply
    480,824x = 1,028,351 × 1,028,351
  4. Step 4: Simplify right side
    480,824x = 1,057,505,779,201
  5. Step 5: Solve for x
    x = 1,057,505,779,201/480,824
  6. Step 6: Final answer
    x = 2,199,361.47

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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.