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Finding the Third Proportional to 1,222,969,278 and 1,870,022,328

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Solution

The third proportional to 1,222,969,278 and 1,870,022,328 is: 2,859,420,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,969,278 : 1,870,022,328 = 1,870,022,328 : x
  2. Step 2: Convert to fraction form
    1,222,969,278/1,870,022,328 = 1,870,022,328/x
  3. Step 3: Cross multiply
    1,222,969,278x = 1,870,022,328 × 1,870,022,328
  4. Step 4: Simplify right side
    1,222,969,278x = 3,496,983,507,218,539,520
  5. Step 5: Solve for x
    x = 3,496,983,507,218,539,520/1,222,969,278
  6. Step 6: Final answer
    x = 2,859,420,567.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.