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Finding the Third Proportional to 467,138 and 1,021,520

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Solution

The third proportional to 467,138 and 1,021,520 is: 2,233,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,138 : 1,021,520 = 1,021,520 : x
  2. Step 2: Convert to fraction form
    467,138/1,021,520 = 1,021,520/x
  3. Step 3: Cross multiply
    467,138x = 1,021,520 × 1,021,520
  4. Step 4: Simplify right side
    467,138x = 1,043,503,110,400
  5. Step 5: Solve for x
    x = 1,043,503,110,400/467,138
  6. Step 6: Final answer
    x = 2,233,821.93

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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.