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Finding the Third Proportional to 384,936,398 and 898,215,971

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Solution

The third proportional to 384,936,398 and 898,215,971 is: 2,095,909,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,936,398 : 898,215,971 = 898,215,971 : x
  2. Step 2: Convert to fraction form
    384,936,398/898,215,971 = 898,215,971/x
  3. Step 3: Cross multiply
    384,936,398x = 898,215,971 × 898,215,971
  4. Step 4: Simplify right side
    384,936,398x = 806,791,930,559,472,896
  5. Step 5: Solve for x
    x = 806,791,930,559,472,896/384,936,398
  6. Step 6: Final answer
    x = 2,095,909,700.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.