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Finding the Third Proportional to 2,000,856 and 4,381,212

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Solution

The third proportional to 2,000,856 and 4,381,212 is: 9,593,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,856 : 4,381,212 = 4,381,212 : x
  2. Step 2: Convert to fraction form
    2,000,856/4,381,212 = 4,381,212/x
  3. Step 3: Cross multiply
    2,000,856x = 4,381,212 × 4,381,212
  4. Step 4: Simplify right side
    2,000,856x = 19,195,018,588,944
  5. Step 5: Solve for x
    x = 19,195,018,588,944/2,000,856
  6. Step 6: Final answer
    x = 9,593,403.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.