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Finding the Third Proportional to 446,830 and 972,286

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Solution

The third proportional to 446,830 and 972,286 is: 2,115,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,830 : 972,286 = 972,286 : x
  2. Step 2: Convert to fraction form
    446,830/972,286 = 972,286/x
  3. Step 3: Cross multiply
    446,830x = 972,286 × 972,286
  4. Step 4: Simplify right side
    446,830x = 945,340,065,796
  5. Step 5: Solve for x
    x = 945,340,065,796/446,830
  6. Step 6: Final answer
    x = 2,115,659.35

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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.