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Finding the Third Proportional to 1,383,464 and 2,980,384

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Solution

The third proportional to 1,383,464 and 2,980,384 is: 6,420,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,464 : 2,980,384 = 2,980,384 : x
  2. Step 2: Convert to fraction form
    1,383,464/2,980,384 = 2,980,384/x
  3. Step 3: Cross multiply
    1,383,464x = 2,980,384 × 2,980,384
  4. Step 4: Simplify right side
    1,383,464x = 8,882,688,787,456
  5. Step 5: Solve for x
    x = 8,882,688,787,456/1,383,464
  6. Step 6: Final answer
    x = 6,420,614.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.