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Finding the Third Proportional to 923,946,298 and 1,924,321,684

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Solution

The third proportional to 923,946,298 and 1,924,321,684 is: 4,007,823,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,946,298 : 1,924,321,684 = 1,924,321,684 : x
  2. Step 2: Convert to fraction form
    923,946,298/1,924,321,684 = 1,924,321,684/x
  3. Step 3: Cross multiply
    923,946,298x = 1,924,321,684 × 1,924,321,684
  4. Step 4: Simplify right side
    923,946,298x = 3,703,013,943,512,595,968
  5. Step 5: Solve for x
    x = 3,703,013,943,512,595,968/923,946,298
  6. Step 6: Final answer
    x = 4,007,823,778.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.