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Finding the Third Proportional to 599,455 and 1,283,933

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Solution

The third proportional to 599,455 and 1,283,933 is: 2,749,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,455 : 1,283,933 = 1,283,933 : x
  2. Step 2: Convert to fraction form
    599,455/1,283,933 = 1,283,933/x
  3. Step 3: Cross multiply
    599,455x = 1,283,933 × 1,283,933
  4. Step 4: Simplify right side
    599,455x = 1,648,483,948,489
  5. Step 5: Solve for x
    x = 1,648,483,948,489/599,455
  6. Step 6: Final answer
    x = 2,749,971.14

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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.