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Finding the Third Proportional to 459,400,878 and 706,131,481.50

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Solution

The third proportional to 459,400,878 and 706,131,481.50 is: 1,085,373,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,400,878 : 706,131,481.50 = 706,131,481.50 : x
  2. Step 2: Convert to fraction form
    459,400,878/706,131,481.50 = 706,131,481.50/x
  3. Step 3: Cross multiply
    459,400,878x = 706,131,481.50 × 706,131,481.50
  4. Step 4: Simplify right side
    459,400,878x = 498,621,669,165,384,832
  5. Step 5: Solve for x
    x = 498,621,669,165,384,832/459,400,878
  6. Step 6: Final answer
    x = 1,085,373,783.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.