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Finding the Third Proportional to 703,036 and 1,658,914

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Solution

The third proportional to 703,036 and 1,658,914 is: 3,914,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,036 : 1,658,914 = 1,658,914 : x
  2. Step 2: Convert to fraction form
    703,036/1,658,914 = 1,658,914/x
  3. Step 3: Cross multiply
    703,036x = 1,658,914 × 1,658,914
  4. Step 4: Simplify right side
    703,036x = 2,751,995,659,396
  5. Step 5: Solve for x
    x = 2,751,995,659,396/703,036
  6. Step 6: Final answer
    x = 3,914,444.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.