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Finding the Third Proportional to 446,819.63 and 972,263.25

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Solution

The third proportional to 446,819.63 and 972,263.25 is: 2,115,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,819.63 : 972,263.25 = 972,263.25 : x
  2. Step 2: Convert to fraction form
    446,819.63/972,263.25 = 972,263.25/x
  3. Step 3: Cross multiply
    446,819.63x = 972,263.25 × 972,263.25
  4. Step 4: Simplify right side
    446,819.63x = 945,295,827,300.56
  5. Step 5: Solve for x
    x = 945,295,827,300.56/446,819.63
  6. Step 6: Final answer
    x = 2,115,609.46

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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.