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Finding the Third Proportional to 1,262,288.25 and 2,705,413.50

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Solution

The third proportional to 1,262,288.25 and 2,705,413.50 is: 5,798,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,288.25 : 2,705,413.50 = 2,705,413.50 : x
  2. Step 2: Convert to fraction form
    1,262,288.25/2,705,413.50 = 2,705,413.50/x
  3. Step 3: Cross multiply
    1,262,288.25x = 2,705,413.50 × 2,705,413.50
  4. Step 4: Simplify right side
    1,262,288.25x = 7,319,262,205,982.25
  5. Step 5: Solve for x
    x = 7,319,262,205,982.25/1,262,288.25
  6. Step 6: Final answer
    x = 5,798,407.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.