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Finding the Third Proportional to 592,646,398 and 1,276,318,198

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Solution

The third proportional to 592,646,398 and 1,276,318,198 is: 2,748,667,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,646,398 : 1,276,318,198 = 1,276,318,198 : x
  2. Step 2: Convert to fraction form
    592,646,398/1,276,318,198 = 1,276,318,198/x
  3. Step 3: Cross multiply
    592,646,398x = 1,276,318,198 × 1,276,318,198
  4. Step 4: Simplify right side
    592,646,398x = 1,628,988,142,545,967,104
  5. Step 5: Solve for x
    x = 1,628,988,142,545,967,104/592,646,398
  6. Step 6: Final answer
    x = 2,748,667,920.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.