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Finding the Third Proportional to 449,670,364 and 1,002,734,452

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Solution

The third proportional to 449,670,364 and 1,002,734,452 is: 2,236,029,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,670,364 : 1,002,734,452 = 1,002,734,452 : x
  2. Step 2: Convert to fraction form
    449,670,364/1,002,734,452 = 1,002,734,452/x
  3. Step 3: Cross multiply
    449,670,364x = 1,002,734,452 × 1,002,734,452
  4. Step 4: Simplify right side
    449,670,364x = 1,005,476,381,227,740,288
  5. Step 5: Solve for x
    x = 1,005,476,381,227,740,288/449,670,364
  6. Step 6: Final answer
    x = 2,236,029,904.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.