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Finding the Third Proportional to 901,089.56 and 1,968,345.56

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Solution

The third proportional to 901,089.56 and 1,968,345.56 is: 4,299,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,089.56 : 1,968,345.56 = 1,968,345.56 : x
  2. Step 2: Convert to fraction form
    901,089.56/1,968,345.56 = 1,968,345.56/x
  3. Step 3: Cross multiply
    901,089.56x = 1,968,345.56 × 1,968,345.56
  4. Step 4: Simplify right side
    901,089.56x = 3,874,384,253,413.44
  5. Step 5: Solve for x
    x = 3,874,384,253,413.44/901,089.56
  6. Step 6: Final answer
    x = 4,299,666.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.