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Finding the Third Proportional to 443,827 and 976,052

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Solution

The third proportional to 443,827 and 976,052 is: 2,146,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,827 : 976,052 = 976,052 : x
  2. Step 2: Convert to fraction form
    443,827/976,052 = 976,052/x
  3. Step 3: Cross multiply
    443,827x = 976,052 × 976,052
  4. Step 4: Simplify right side
    443,827x = 952,677,506,704
  5. Step 5: Solve for x
    x = 952,677,506,704/443,827
  6. Step 6: Final answer
    x = 2,146,506.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.