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Finding the Third Proportional to 538,640 and 1,166,424

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Solution

The third proportional to 538,640 and 1,166,424 is: 2,525,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,640 : 1,166,424 = 1,166,424 : x
  2. Step 2: Convert to fraction form
    538,640/1,166,424 = 1,166,424/x
  3. Step 3: Cross multiply
    538,640x = 1,166,424 × 1,166,424
  4. Step 4: Simplify right side
    538,640x = 1,360,544,947,776
  5. Step 5: Solve for x
    x = 1,360,544,947,776/538,640
  6. Step 6: Final answer
    x = 2,525,889.18

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