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Finding the Third Proportional to 595,923,219 and 1,282,922,082

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Solution

The third proportional to 595,923,219 and 1,282,922,082 is: 2,761,914,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,923,219 : 1,282,922,082 = 1,282,922,082 : x
  2. Step 2: Convert to fraction form
    595,923,219/1,282,922,082 = 1,282,922,082/x
  3. Step 3: Cross multiply
    595,923,219x = 1,282,922,082 × 1,282,922,082
  4. Step 4: Simplify right side
    595,923,219x = 1,645,889,068,483,214,848
  5. Step 5: Solve for x
    x = 1,645,889,068,483,214,848/595,923,219
  6. Step 6: Final answer
    x = 2,761,914,649.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.