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Finding the Third Proportional to 459,366,976 and 1,008,015,786

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Solution

The third proportional to 459,366,976 and 1,008,015,786 is: 2,211,947,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,366,976 : 1,008,015,786 = 1,008,015,786 : x
  2. Step 2: Convert to fraction form
    459,366,976/1,008,015,786 = 1,008,015,786/x
  3. Step 3: Cross multiply
    459,366,976x = 1,008,015,786 × 1,008,015,786
  4. Step 4: Simplify right side
    459,366,976x = 1,016,095,824,825,197,824
  5. Step 5: Solve for x
    x = 1,016,095,824,825,197,824/459,366,976
  6. Step 6: Final answer
    x = 2,211,947,915.09

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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.