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Finding the Third Proportional to 980,003 and 1,475,706

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Solution

The third proportional to 980,003 and 1,475,706 is: 2,222,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,003 : 1,475,706 = 1,475,706 : x
  2. Step 2: Convert to fraction form
    980,003/1,475,706 = 1,475,706/x
  3. Step 3: Cross multiply
    980,003x = 1,475,706 × 1,475,706
  4. Step 4: Simplify right side
    980,003x = 2,177,708,198,436
  5. Step 5: Solve for x
    x = 2,177,708,198,436/980,003
  6. Step 6: Final answer
    x = 2,222,144.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.