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Finding the Third Proportional to 435,619 and 937,984

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Solution

The third proportional to 435,619 and 937,984 is: 2,019,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,619 : 937,984 = 937,984 : x
  2. Step 2: Convert to fraction form
    435,619/937,984 = 937,984/x
  3. Step 3: Cross multiply
    435,619x = 937,984 × 937,984
  4. Step 4: Simplify right side
    435,619x = 879,813,984,256
  5. Step 5: Solve for x
    x = 879,813,984,256/435,619
  6. Step 6: Final answer
    x = 2,019,686.89

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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.