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Finding the Third Proportional to 2,142,864 and 4,463,244

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Solution

The third proportional to 2,142,864 and 4,463,244 is: 9,296,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,864 : 4,463,244 = 4,463,244 : x
  2. Step 2: Convert to fraction form
    2,142,864/4,463,244 = 4,463,244/x
  3. Step 3: Cross multiply
    2,142,864x = 4,463,244 × 4,463,244
  4. Step 4: Simplify right side
    2,142,864x = 19,920,547,003,536
  5. Step 5: Solve for x
    x = 19,920,547,003,536/2,142,864
  6. Step 6: Final answer
    x = 9,296,225.52

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.