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Finding the Third Proportional to 592,646,400 and 1,276,318,204

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Solution

The third proportional to 592,646,400 and 1,276,318,204 is: 2,748,667,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,646,400 : 1,276,318,204 = 1,276,318,204 : x
  2. Step 2: Convert to fraction form
    592,646,400/1,276,318,204 = 1,276,318,204/x
  3. Step 3: Cross multiply
    592,646,400x = 1,276,318,204 × 1,276,318,204
  4. Step 4: Simplify right side
    592,646,400x = 1,628,988,157,861,785,600
  5. Step 5: Solve for x
    x = 1,628,988,157,861,785,600/592,646,400
  6. Step 6: Final answer
    x = 2,748,667,937.34

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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.