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Finding the Third Proportional to 459,888,364 and 1,008,812,054

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Solution

The third proportional to 459,888,364 and 1,008,812,054 is: 2,212,932,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,888,364 : 1,008,812,054 = 1,008,812,054 : x
  2. Step 2: Convert to fraction form
    459,888,364/1,008,812,054 = 1,008,812,054/x
  3. Step 3: Cross multiply
    459,888,364x = 1,008,812,054 × 1,008,812,054
  4. Step 4: Simplify right side
    459,888,364x = 1,017,701,760,295,698,944
  5. Step 5: Solve for x
    x = 1,017,701,760,295,698,944/459,888,364
  6. Step 6: Final answer
    x = 2,212,932,180.85

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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.