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Finding the Third Proportional to 698,794,211 and 1,096,107,029

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Solution

The third proportional to 698,794,211 and 1,096,107,029 is: 1,719,319,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,794,211 : 1,096,107,029 = 1,096,107,029 : x
  2. Step 2: Convert to fraction form
    698,794,211/1,096,107,029 = 1,096,107,029/x
  3. Step 3: Cross multiply
    698,794,211x = 1,096,107,029 × 1,096,107,029
  4. Step 4: Simplify right side
    698,794,211x = 1,201,450,619,023,206,912
  5. Step 5: Solve for x
    x = 1,201,450,619,023,206,912/698,794,211
  6. Step 6: Final answer
    x = 1,719,319,651.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.