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Finding the Third Proportional to 2,145,984 and 3,219,232

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Solution

The third proportional to 2,145,984 and 3,219,232 is: 4,829,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,984 : 3,219,232 = 3,219,232 : x
  2. Step 2: Convert to fraction form
    2,145,984/3,219,232 = 3,219,232/x
  3. Step 3: Cross multiply
    2,145,984x = 3,219,232 × 3,219,232
  4. Step 4: Simplify right side
    2,145,984x = 10,363,454,669,824
  5. Step 5: Solve for x
    x = 10,363,454,669,824/2,145,984
  6. Step 6: Final answer
    x = 4,829,232.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.