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Finding the Third Proportional to 443,102 and 960,988

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Solution

The third proportional to 443,102 and 960,988 is: 2,084,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,102 : 960,988 = 960,988 : x
  2. Step 2: Convert to fraction form
    443,102/960,988 = 960,988/x
  3. Step 3: Cross multiply
    443,102x = 960,988 × 960,988
  4. Step 4: Simplify right side
    443,102x = 923,497,936,144
  5. Step 5: Solve for x
    x = 923,497,936,144/443,102
  6. Step 6: Final answer
    x = 2,084,165.58

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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.