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Finding the Third Proportional to 1,984,384 and 4,207,212

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Solution

The third proportional to 1,984,384 and 4,207,212 is: 8,919,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,384 : 4,207,212 = 4,207,212 : x
  2. Step 2: Convert to fraction form
    1,984,384/4,207,212 = 4,207,212/x
  3. Step 3: Cross multiply
    1,984,384x = 4,207,212 × 4,207,212
  4. Step 4: Simplify right side
    1,984,384x = 17,700,632,812,944
  5. Step 5: Solve for x
    x = 17,700,632,812,944/1,984,384
  6. Step 6: Final answer
    x = 8,919,963.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.