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Finding the Third Proportional to 459,366,957 and 1,008,015,750

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Solution

The third proportional to 459,366,957 and 1,008,015,750 is: 2,211,947,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,366,957 : 1,008,015,750 = 1,008,015,750 : x
  2. Step 2: Convert to fraction form
    459,366,957/1,008,015,750 = 1,008,015,750/x
  3. Step 3: Cross multiply
    459,366,957x = 1,008,015,750 × 1,008,015,750
  4. Step 4: Simplify right side
    459,366,957x = 1,016,095,752,248,062,464
  5. Step 5: Solve for x
    x = 1,016,095,752,248,062,464/459,366,957
  6. Step 6: Final answer
    x = 2,211,947,848.59

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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.