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Finding the Third Proportional to 594,757,936 and 1,288,346,240

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Solution

The third proportional to 594,757,936 and 1,288,346,240 is: 2,790,775,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,757,936 : 1,288,346,240 = 1,288,346,240 : x
  2. Step 2: Convert to fraction form
    594,757,936/1,288,346,240 = 1,288,346,240/x
  3. Step 3: Cross multiply
    594,757,936x = 1,288,346,240 × 1,288,346,240
  4. Step 4: Simplify right side
    594,757,936x = 1,659,836,034,122,137,600
  5. Step 5: Solve for x
    x = 1,659,836,034,122,137,600/594,757,936
  6. Step 6: Final answer
    x = 2,790,775,765.49

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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.