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Finding the Third Proportional to 446,636 and 973,444

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Solution

The third proportional to 446,636 and 973,444 is: 2,121,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,636 : 973,444 = 973,444 : x
  2. Step 2: Convert to fraction form
    446,636/973,444 = 973,444/x
  3. Step 3: Cross multiply
    446,636x = 973,444 × 973,444
  4. Step 4: Simplify right side
    446,636x = 947,593,221,136
  5. Step 5: Solve for x
    x = 947,593,221,136/446,636
  6. Step 6: Final answer
    x = 2,121,623.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.