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Finding the Third Proportional to 2,398,178 and 5,138,230

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Solution

The third proportional to 2,398,178 and 5,138,230 is: 11,008,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,178 : 5,138,230 = 5,138,230 : x
  2. Step 2: Convert to fraction form
    2,398,178/5,138,230 = 5,138,230/x
  3. Step 3: Cross multiply
    2,398,178x = 5,138,230 × 5,138,230
  4. Step 4: Simplify right side
    2,398,178x = 26,401,407,532,900
  5. Step 5: Solve for x
    x = 26,401,407,532,900/2,398,178
  6. Step 6: Final answer
    x = 11,008,944.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.