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Finding the Third Proportional to 632,913 and 1,384,608

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Solution

The third proportional to 632,913 and 1,384,608 is: 3,029,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,913 : 1,384,608 = 1,384,608 : x
  2. Step 2: Convert to fraction form
    632,913/1,384,608 = 1,384,608/x
  3. Step 3: Cross multiply
    632,913x = 1,384,608 × 1,384,608
  4. Step 4: Simplify right side
    632,913x = 1,917,139,313,664
  5. Step 5: Solve for x
    x = 1,917,139,313,664/632,913
  6. Step 6: Final answer
    x = 3,029,072.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.