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Finding the Third Proportional to 685,278 and 1,475,556

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Solution

The third proportional to 685,278 and 1,475,556 is: 3,177,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,278 : 1,475,556 = 1,475,556 : x
  2. Step 2: Convert to fraction form
    685,278/1,475,556 = 1,475,556/x
  3. Step 3: Cross multiply
    685,278x = 1,475,556 × 1,475,556
  4. Step 4: Simplify right side
    685,278x = 2,177,265,509,136
  5. Step 5: Solve for x
    x = 2,177,265,509,136/685,278
  6. Step 6: Final answer
    x = 3,177,200.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.