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Finding the Third Proportional to 673,012 and 1,365,800

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Solution

The third proportional to 673,012 and 1,365,800 is: 2,771,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,012 : 1,365,800 = 1,365,800 : x
  2. Step 2: Convert to fraction form
    673,012/1,365,800 = 1,365,800/x
  3. Step 3: Cross multiply
    673,012x = 1,365,800 × 1,365,800
  4. Step 4: Simplify right side
    673,012x = 1,865,409,640,000
  5. Step 5: Solve for x
    x = 1,865,409,640,000/673,012
  6. Step 6: Final answer
    x = 2,771,733.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.