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Finding the Third Proportional to 459,888,372 and 1,008,812,069

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Solution

The third proportional to 459,888,372 and 1,008,812,069 is: 2,212,932,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,888,372 : 1,008,812,069 = 1,008,812,069 : x
  2. Step 2: Convert to fraction form
    459,888,372/1,008,812,069 = 1,008,812,069/x
  3. Step 3: Cross multiply
    459,888,372x = 1,008,812,069 × 1,008,812,069
  4. Step 4: Simplify right side
    459,888,372x = 1,017,701,790,560,060,800
  5. Step 5: Solve for x
    x = 1,017,701,790,560,060,800/459,888,372
  6. Step 6: Final answer
    x = 2,212,932,208.17

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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.