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Finding the Third Proportional to 459,366,968 and 1,008,015,770

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Solution

The third proportional to 459,366,968 and 1,008,015,770 is: 2,211,947,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,366,968 : 1,008,015,770 = 1,008,015,770 : x
  2. Step 2: Convert to fraction form
    459,366,968/1,008,015,770 = 1,008,015,770/x
  3. Step 3: Cross multiply
    459,366,968x = 1,008,015,770 × 1,008,015,770
  4. Step 4: Simplify right side
    459,366,968x = 1,016,095,792,568,692,864
  5. Step 5: Solve for x
    x = 1,016,095,792,568,692,864/459,366,968
  6. Step 6: Final answer
    x = 2,211,947,883.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.