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Finding the Third Proportional to 1,229,019,991 and 1,796,870,203

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Solution

The third proportional to 1,229,019,991 and 1,796,870,203 is: 2,627,087,069.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,019,991 : 1,796,870,203 = 1,796,870,203 : x
  2. Step 2: Convert to fraction form
    1,229,019,991/1,796,870,203 = 1,796,870,203/x
  3. Step 3: Cross multiply
    1,229,019,991x = 1,796,870,203 × 1,796,870,203
  4. Step 4: Simplify right side
    1,229,019,991x = 3,228,742,526,429,261,312
  5. Step 5: Solve for x
    x = 3,228,742,526,429,261,312/1,229,019,991
  6. Step 6: Final answer
    x = 2,627,087,069.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.