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Finding the Third Proportional to 443,100 and 960,984

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Solution

The third proportional to 443,100 and 960,984 is: 2,084,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,100 : 960,984 = 960,984 : x
  2. Step 2: Convert to fraction form
    443,100/960,984 = 960,984/x
  3. Step 3: Cross multiply
    443,100x = 960,984 × 960,984
  4. Step 4: Simplify right side
    443,100x = 923,490,248,256
  5. Step 5: Solve for x
    x = 923,490,248,256/443,100
  6. Step 6: Final answer
    x = 2,084,157.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.