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Finding the Third Proportional to 1,137,384 and 2,405,232

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Solution

The third proportional to 1,137,384 and 2,405,232 is: 5,086,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,384 : 2,405,232 = 2,405,232 : x
  2. Step 2: Convert to fraction form
    1,137,384/2,405,232 = 2,405,232/x
  3. Step 3: Cross multiply
    1,137,384x = 2,405,232 × 2,405,232
  4. Step 4: Simplify right side
    1,137,384x = 5,785,140,973,824
  5. Step 5: Solve for x
    x = 5,785,140,973,824/1,137,384
  6. Step 6: Final answer
    x = 5,086,356.92

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.