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Finding the Third Proportional to 2,030,827 and 4,460,173

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Solution

The third proportional to 2,030,827 and 4,460,173 is: 9,795,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,827 : 4,460,173 = 4,460,173 : x
  2. Step 2: Convert to fraction form
    2,030,827/4,460,173 = 4,460,173/x
  3. Step 3: Cross multiply
    2,030,827x = 4,460,173 × 4,460,173
  4. Step 4: Simplify right side
    2,030,827x = 19,893,143,189,929
  5. Step 5: Solve for x
    x = 19,893,143,189,929/2,030,827
  6. Step 6: Final answer
    x = 9,795,587.31

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