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Finding the Third Proportional to 2,431,971 and 5,279,310

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Solution

The third proportional to 2,431,971 and 5,279,310 is: 11,460,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,971 : 5,279,310 = 5,279,310 : x
  2. Step 2: Convert to fraction form
    2,431,971/5,279,310 = 5,279,310/x
  3. Step 3: Cross multiply
    2,431,971x = 5,279,310 × 5,279,310
  4. Step 4: Simplify right side
    2,431,971x = 27,871,114,076,100
  5. Step 5: Solve for x
    x = 27,871,114,076,100/2,431,971
  6. Step 6: Final answer
    x = 11,460,298.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.