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Finding the Third Proportional to 1,157,869 and 1,654,244

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Solution

The third proportional to 1,157,869 and 1,654,244 is: 2,363,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,869 : 1,654,244 = 1,654,244 : x
  2. Step 2: Convert to fraction form
    1,157,869/1,654,244 = 1,654,244/x
  3. Step 3: Cross multiply
    1,157,869x = 1,654,244 × 1,654,244
  4. Step 4: Simplify right side
    1,157,869x = 2,736,523,211,536
  5. Step 5: Solve for x
    x = 2,736,523,211,536/1,157,869
  6. Step 6: Final answer
    x = 2,363,413.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.