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Finding the Third Proportional to 931,342,850 and 1,431,540,694

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Solution

The third proportional to 931,342,850 and 1,431,540,694 is: 2,200,380,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,342,850 : 1,431,540,694 = 1,431,540,694 : x
  2. Step 2: Convert to fraction form
    931,342,850/1,431,540,694 = 1,431,540,694/x
  3. Step 3: Cross multiply
    931,342,850x = 1,431,540,694 × 1,431,540,694
  4. Step 4: Simplify right side
    931,342,850x = 2,049,308,758,578,001,664
  5. Step 5: Solve for x
    x = 2,049,308,758,578,001,664/931,342,850
  6. Step 6: Final answer
    x = 2,200,380,620.93

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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.