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Finding the Third Proportional to 2,030,823 and 4,460,165

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Solution

The third proportional to 2,030,823 and 4,460,165 is: 9,795,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,823 : 4,460,165 = 4,460,165 : x
  2. Step 2: Convert to fraction form
    2,030,823/4,460,165 = 4,460,165/x
  3. Step 3: Cross multiply
    2,030,823x = 4,460,165 × 4,460,165
  4. Step 4: Simplify right side
    2,030,823x = 19,893,071,827,225
  5. Step 5: Solve for x
    x = 19,893,071,827,225/2,030,823
  6. Step 6: Final answer
    x = 9,795,571.46

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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.