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Finding the Third Proportional to 1,067,256,975 and 1,594,607,806.50

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Solution

The third proportional to 1,067,256,975 and 1,594,607,806.50 is: 2,382,532,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,256,975 : 1,594,607,806.50 = 1,594,607,806.50 : x
  2. Step 2: Convert to fraction form
    1,067,256,975/1,594,607,806.50 = 1,594,607,806.50/x
  3. Step 3: Cross multiply
    1,067,256,975x = 1,594,607,806.50 × 1,594,607,806.50
  4. Step 4: Simplify right side
    1,067,256,975x = 2,542,774,056,550,741,504
  5. Step 5: Solve for x
    x = 2,542,774,056,550,741,504/1,067,256,975
  6. Step 6: Final answer
    x = 2,382,532,151.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.