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Finding the Third Proportional to 618,173 and 1,302,765

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Solution

The third proportional to 618,173 and 1,302,765 is: 2,745,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,173 : 1,302,765 = 1,302,765 : x
  2. Step 2: Convert to fraction form
    618,173/1,302,765 = 1,302,765/x
  3. Step 3: Cross multiply
    618,173x = 1,302,765 × 1,302,765
  4. Step 4: Simplify right side
    618,173x = 1,697,196,645,225
  5. Step 5: Solve for x
    x = 1,697,196,645,225/618,173
  6. Step 6: Final answer
    x = 2,745,504.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.