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Finding the Third Proportional to 959,583,380 and 1,474,293,806

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Solution

The third proportional to 959,583,380 and 1,474,293,806 is: 2,265,089,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,583,380 : 1,474,293,806 = 1,474,293,806 : x
  2. Step 2: Convert to fraction form
    959,583,380/1,474,293,806 = 1,474,293,806/x
  3. Step 3: Cross multiply
    959,583,380x = 1,474,293,806 × 1,474,293,806
  4. Step 4: Simplify right side
    959,583,380x = 2,173,542,226,409,965,568
  5. Step 5: Solve for x
    x = 2,173,542,226,409,965,568/959,583,380
  6. Step 6: Final answer
    x = 2,265,089,487.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.