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Finding the Third Proportional to 852,874,686 and 1,289,809,629

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Solution

The third proportional to 852,874,686 and 1,289,809,629 is: 1,950,590,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,874,686 : 1,289,809,629 = 1,289,809,629 : x
  2. Step 2: Convert to fraction form
    852,874,686/1,289,809,629 = 1,289,809,629/x
  3. Step 3: Cross multiply
    852,874,686x = 1,289,809,629 × 1,289,809,629
  4. Step 4: Simplify right side
    852,874,686x = 1,663,608,879,061,117,696
  5. Step 5: Solve for x
    x = 1,663,608,879,061,117,696/852,874,686
  6. Step 6: Final answer
    x = 1,950,590,053.11

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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.