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Finding the Third Proportional to 443,909 and 958,765

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Solution

The third proportional to 443,909 and 958,765 is: 2,070,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,909 : 958,765 = 958,765 : x
  2. Step 2: Convert to fraction form
    443,909/958,765 = 958,765/x
  3. Step 3: Cross multiply
    443,909x = 958,765 × 958,765
  4. Step 4: Simplify right side
    443,909x = 919,230,325,225
  5. Step 5: Solve for x
    x = 919,230,325,225/443,909
  6. Step 6: Final answer
    x = 2,070,762.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.