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Finding the Third Proportional to 443,364 and 949,740

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Solution

The third proportional to 443,364 and 949,740 is: 2,034,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,364 : 949,740 = 949,740 : x
  2. Step 2: Convert to fraction form
    443,364/949,740 = 949,740/x
  3. Step 3: Cross multiply
    443,364x = 949,740 × 949,740
  4. Step 4: Simplify right side
    443,364x = 902,006,067,600
  5. Step 5: Solve for x
    x = 902,006,067,600/443,364
  6. Step 6: Final answer
    x = 2,034,459.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.