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Finding the Third Proportional to 588,544,018 and 1,261,588,381

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Solution

The third proportional to 588,544,018 and 1,261,588,381 is: 2,704,309,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,544,018 : 1,261,588,381 = 1,261,588,381 : x
  2. Step 2: Convert to fraction form
    588,544,018/1,261,588,381 = 1,261,588,381/x
  3. Step 3: Cross multiply
    588,544,018x = 1,261,588,381 × 1,261,588,381
  4. Step 4: Simplify right side
    588,544,018x = 1,591,605,243,074,201,088
  5. Step 5: Solve for x
    x = 1,591,605,243,074,201,088/588,544,018
  6. Step 6: Final answer
    x = 2,704,309,608.79

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Why These Related Problems?

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