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Finding the Third Proportional to 1,384,440 and 2,024,100

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Solution

The third proportional to 1,384,440 and 2,024,100 is: 2,959,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,440 : 2,024,100 = 2,024,100 : x
  2. Step 2: Convert to fraction form
    1,384,440/2,024,100 = 2,024,100/x
  3. Step 3: Cross multiply
    1,384,440x = 2,024,100 × 2,024,100
  4. Step 4: Simplify right side
    1,384,440x = 4,096,980,810,000
  5. Step 5: Solve for x
    x = 4,096,980,810,000/1,384,440
  6. Step 6: Final answer
    x = 2,959,305.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.