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Finding the Third Proportional to 1,596,144 and 3,445,512

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Solution

The third proportional to 1,596,144 and 3,445,512 is: 7,437,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,144 : 3,445,512 = 3,445,512 : x
  2. Step 2: Convert to fraction form
    1,596,144/3,445,512 = 3,445,512/x
  3. Step 3: Cross multiply
    1,596,144x = 3,445,512 × 3,445,512
  4. Step 4: Simplify right side
    1,596,144x = 11,871,552,942,144
  5. Step 5: Solve for x
    x = 11,871,552,942,144/1,596,144
  6. Step 6: Final answer
    x = 7,437,645.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.