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Finding the Third Proportional to 459,366,963 and 1,008,015,761

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Solution

The third proportional to 459,366,963 and 1,008,015,761 is: 2,211,947,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,366,963 : 1,008,015,761 = 1,008,015,761 : x
  2. Step 2: Convert to fraction form
    459,366,963/1,008,015,761 = 1,008,015,761/x
  3. Step 3: Cross multiply
    459,366,963x = 1,008,015,761 × 1,008,015,761
  4. Step 4: Simplify right side
    459,366,963x = 1,016,095,774,424,409,088
  5. Step 5: Solve for x
    x = 1,016,095,774,424,409,088/459,366,963
  6. Step 6: Final answer
    x = 2,211,947,867.97

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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.