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Finding the Third Proportional to 599,238 and 1,283,769

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Solution

The third proportional to 599,238 and 1,283,769 is: 2,750,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,238 : 1,283,769 = 1,283,769 : x
  2. Step 2: Convert to fraction form
    599,238/1,283,769 = 1,283,769/x
  3. Step 3: Cross multiply
    599,238x = 1,283,769 × 1,283,769
  4. Step 4: Simplify right side
    599,238x = 1,648,062,845,361
  5. Step 5: Solve for x
    x = 1,648,062,845,361/599,238
  6. Step 6: Final answer
    x = 2,750,264.24

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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.