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Finding the Third Proportional to 425,100,582 and 694,150,965

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Solution

The third proportional to 425,100,582 and 694,150,965 is: 1,133,486,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,100,582 : 694,150,965 = 694,150,965 : x
  2. Step 2: Convert to fraction form
    425,100,582/694,150,965 = 694,150,965/x
  3. Step 3: Cross multiply
    425,100,582x = 694,150,965 × 694,150,965
  4. Step 4: Simplify right side
    425,100,582x = 481,845,562,210,431,232
  5. Step 5: Solve for x
    x = 481,845,562,210,431,232/425,100,582
  6. Step 6: Final answer
    x = 1,133,486,009.23

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.