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Finding the Third Proportional to 465,998 and 951,556

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Solution

The third proportional to 465,998 and 951,556 is: 1,943,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,998 : 951,556 = 951,556 : x
  2. Step 2: Convert to fraction form
    465,998/951,556 = 951,556/x
  3. Step 3: Cross multiply
    465,998x = 951,556 × 951,556
  4. Step 4: Simplify right side
    465,998x = 905,458,821,136
  5. Step 5: Solve for x
    x = 905,458,821,136/465,998
  6. Step 6: Final answer
    x = 1,943,053.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.