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Finding the Third Proportional to 820,413.56 and 1,241,935.03

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Solution

The third proportional to 820,413.56 and 1,241,935.03 is: 1,880,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,413.56 : 1,241,935.03 = 1,241,935.03 : x
  2. Step 2: Convert to fraction form
    820,413.56/1,241,935.03 = 1,241,935.03/x
  3. Step 3: Cross multiply
    820,413.56x = 1,241,935.03 × 1,241,935.03
  4. Step 4: Simplify right side
    820,413.56x = 1,542,402,621,845.94
  5. Step 5: Solve for x
    x = 1,542,402,621,845.94/820,413.56
  6. Step 6: Final answer
    x = 1,880,030.62

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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.