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Finding the Third Proportional to 815,003 and 1,770,013

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Solution

The third proportional to 815,003 and 1,770,013 is: 3,844,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,003 : 1,770,013 = 1,770,013 : x
  2. Step 2: Convert to fraction form
    815,003/1,770,013 = 1,770,013/x
  3. Step 3: Cross multiply
    815,003x = 1,770,013 × 1,770,013
  4. Step 4: Simplify right side
    815,003x = 3,132,946,020,169
  5. Step 5: Solve for x
    x = 3,132,946,020,169/815,003
  6. Step 6: Final answer
    x = 3,844,091.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.