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Finding the Third Proportional to 596,823,678 and 1,284,346,647

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Solution

The third proportional to 596,823,678 and 1,284,346,647 is: 2,763,875,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,823,678 : 1,284,346,647 = 1,284,346,647 : x
  2. Step 2: Convert to fraction form
    596,823,678/1,284,346,647 = 1,284,346,647/x
  3. Step 3: Cross multiply
    596,823,678x = 1,284,346,647 × 1,284,346,647
  4. Step 4: Simplify right side
    596,823,678x = 1,649,546,309,660,142,592
  5. Step 5: Solve for x
    x = 1,649,546,309,660,142,592/596,823,678
  6. Step 6: Final answer
    x = 2,763,875,446.74

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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.