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Finding the Third Proportional to 2,854,657.69 and 5,989,555.13

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Solution

The third proportional to 2,854,657.69 and 5,989,555.13 is: 12,567,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,657.69 : 5,989,555.13 = 5,989,555.13 : x
  2. Step 2: Convert to fraction form
    2,854,657.69/5,989,555.13 = 5,989,555.13/x
  3. Step 3: Cross multiply
    2,854,657.69x = 5,989,555.13 × 5,989,555.13
  4. Step 4: Simplify right side
    2,854,657.69x = 35,874,770,595,413.77
  5. Step 5: Solve for x
    x = 35,874,770,595,413.77/2,854,657.69
  6. Step 6: Final answer
    x = 12,567,100.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.