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Finding the Third Proportional to 459,366,966 and 1,008,015,766

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Solution

The third proportional to 459,366,966 and 1,008,015,766 is: 2,211,947,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,366,966 : 1,008,015,766 = 1,008,015,766 : x
  2. Step 2: Convert to fraction form
    459,366,966/1,008,015,766 = 1,008,015,766/x
  3. Step 3: Cross multiply
    459,366,966x = 1,008,015,766 × 1,008,015,766
  4. Step 4: Simplify right side
    459,366,966x = 1,016,095,784,504,566,784
  5. Step 5: Solve for x
    x = 1,016,095,784,504,566,784/459,366,966
  6. Step 6: Final answer
    x = 2,211,947,875.47

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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.