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Finding the Third Proportional to 501,738 and 1,073,296

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Solution

The third proportional to 501,738 and 1,073,296 is: 2,295,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,738 : 1,073,296 = 1,073,296 : x
  2. Step 2: Convert to fraction form
    501,738/1,073,296 = 1,073,296/x
  3. Step 3: Cross multiply
    501,738x = 1,073,296 × 1,073,296
  4. Step 4: Simplify right side
    501,738x = 1,151,964,303,616
  5. Step 5: Solve for x
    x = 1,151,964,303,616/501,738
  6. Step 6: Final answer
    x = 2,295,947.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.