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Finding the Third Proportional to 477,171 and 1,040,080

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Solution

The third proportional to 477,171 and 1,040,080 is: 2,267,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,171 : 1,040,080 = 1,040,080 : x
  2. Step 2: Convert to fraction form
    477,171/1,040,080 = 1,040,080/x
  3. Step 3: Cross multiply
    477,171x = 1,040,080 × 1,040,080
  4. Step 4: Simplify right side
    477,171x = 1,081,766,406,400
  5. Step 5: Solve for x
    x = 1,081,766,406,400/477,171
  6. Step 6: Final answer
    x = 2,267,041.39

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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.