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Finding the Third Proportional to 591,993 and 1,283,778

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Solution

The third proportional to 591,993 and 1,283,778 is: 2,783,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,993 : 1,283,778 = 1,283,778 : x
  2. Step 2: Convert to fraction form
    591,993/1,283,778 = 1,283,778/x
  3. Step 3: Cross multiply
    591,993x = 1,283,778 × 1,283,778
  4. Step 4: Simplify right side
    591,993x = 1,648,085,953,284
  5. Step 5: Solve for x
    x = 1,648,085,953,284/591,993
  6. Step 6: Final answer
    x = 2,783,961.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.