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Finding the Third Proportional to 443,767 and 972,006

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Solution

The third proportional to 443,767 and 972,006 is: 2,129,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,767 : 972,006 = 972,006 : x
  2. Step 2: Convert to fraction form
    443,767/972,006 = 972,006/x
  3. Step 3: Cross multiply
    443,767x = 972,006 × 972,006
  4. Step 4: Simplify right side
    443,767x = 944,795,664,036
  5. Step 5: Solve for x
    x = 944,795,664,036/443,767
  6. Step 6: Final answer
    x = 2,129,035.43

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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.