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Finding the Third Proportional to 443,763 and 972,000

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Solution

The third proportional to 443,763 and 972,000 is: 2,129,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,763 : 972,000 = 972,000 : x
  2. Step 2: Convert to fraction form
    443,763/972,000 = 972,000/x
  3. Step 3: Cross multiply
    443,763x = 972,000 × 972,000
  4. Step 4: Simplify right side
    443,763x = 944,784,000,000
  5. Step 5: Solve for x
    x = 944,784,000,000/443,763
  6. Step 6: Final answer
    x = 2,129,028.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.