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Finding the Third Proportional to 435,142 and 949,988

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Solution

The third proportional to 435,142 and 949,988 is: 2,073,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,142 : 949,988 = 949,988 : x
  2. Step 2: Convert to fraction form
    435,142/949,988 = 949,988/x
  3. Step 3: Cross multiply
    435,142x = 949,988 × 949,988
  4. Step 4: Simplify right side
    435,142x = 902,477,200,144
  5. Step 5: Solve for x
    x = 902,477,200,144/435,142
  6. Step 6: Final answer
    x = 2,073,983.21

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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.