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Finding the Third Proportional to 444,609 and 973,944

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Solution

The third proportional to 444,609 and 973,944 is: 2,133,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,609 : 973,944 = 973,944 : x
  2. Step 2: Convert to fraction form
    444,609/973,944 = 973,944/x
  3. Step 3: Cross multiply
    444,609x = 973,944 × 973,944
  4. Step 4: Simplify right side
    444,609x = 948,566,915,136
  5. Step 5: Solve for x
    x = 948,566,915,136/444,609
  6. Step 6: Final answer
    x = 2,133,485.64

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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.