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Finding the Third Proportional to 731,648 and 1,597,360

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Solution

The third proportional to 731,648 and 1,597,360 is: 3,487,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,648 : 1,597,360 = 1,597,360 : x
  2. Step 2: Convert to fraction form
    731,648/1,597,360 = 1,597,360/x
  3. Step 3: Cross multiply
    731,648x = 1,597,360 × 1,597,360
  4. Step 4: Simplify right side
    731,648x = 2,551,558,969,600
  5. Step 5: Solve for x
    x = 2,551,558,969,600/731,648
  6. Step 6: Final answer
    x = 3,487,413.30

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