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Finding the Third Proportional to 437,378,420 and 892,353,431

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Solution

The third proportional to 437,378,420 and 892,353,431 is: 1,820,607,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,378,420 : 892,353,431 = 892,353,431 : x
  2. Step 2: Convert to fraction form
    437,378,420/892,353,431 = 892,353,431/x
  3. Step 3: Cross multiply
    437,378,420x = 892,353,431 × 892,353,431
  4. Step 4: Simplify right side
    437,378,420x = 796,294,645,817,471,744
  5. Step 5: Solve for x
    x = 796,294,645,817,471,744/437,378,420
  6. Step 6: Final answer
    x = 1,820,607,989.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.