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Finding the Third Proportional to 449,670,346 and 1,002,734,419

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Solution

The third proportional to 449,670,346 and 1,002,734,419 is: 2,236,029,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,670,346 : 1,002,734,419 = 1,002,734,419 : x
  2. Step 2: Convert to fraction form
    449,670,346/1,002,734,419 = 1,002,734,419/x
  3. Step 3: Cross multiply
    449,670,346x = 1,002,734,419 × 1,002,734,419
  4. Step 4: Simplify right side
    449,670,346x = 1,005,476,315,047,267,584
  5. Step 5: Solve for x
    x = 1,005,476,315,047,267,584/449,670,346
  6. Step 6: Final answer
    x = 2,236,029,847.18

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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.