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Finding the Third Proportional to 446,313 and 983,166

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Solution

The third proportional to 446,313 and 983,166 is: 2,165,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,313 : 983,166 = 983,166 : x
  2. Step 2: Convert to fraction form
    446,313/983,166 = 983,166/x
  3. Step 3: Cross multiply
    446,313x = 983,166 × 983,166
  4. Step 4: Simplify right side
    446,313x = 966,615,383,556
  5. Step 5: Solve for x
    x = 966,615,383,556/446,313
  6. Step 6: Final answer
    x = 2,165,779.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.