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Finding the Third Proportional to 435,780 and 949,968

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Solution

The third proportional to 435,780 and 949,968 is: 2,070,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,780 : 949,968 = 949,968 : x
  2. Step 2: Convert to fraction form
    435,780/949,968 = 949,968/x
  3. Step 3: Cross multiply
    435,780x = 949,968 × 949,968
  4. Step 4: Simplify right side
    435,780x = 902,439,201,024
  5. Step 5: Solve for x
    x = 902,439,201,024/435,780
  6. Step 6: Final answer
    x = 2,070,859.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.