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Finding the Third Proportional to 824,940 and 1,809,288

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Solution

The third proportional to 824,940 and 1,809,288 is: 3,968,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,940 : 1,809,288 = 1,809,288 : x
  2. Step 2: Convert to fraction form
    824,940/1,809,288 = 1,809,288/x
  3. Step 3: Cross multiply
    824,940x = 1,809,288 × 1,809,288
  4. Step 4: Simplify right side
    824,940x = 3,273,523,066,944
  5. Step 5: Solve for x
    x = 3,273,523,066,944/824,940
  6. Step 6: Final answer
    x = 3,968,195.34

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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.