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Finding the Third Proportional to 964,928.22 and 1,419,325.81

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Solution

The third proportional to 964,928.22 and 1,419,325.81 is: 2,087,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,928.22 : 1,419,325.81 = 1,419,325.81 : x
  2. Step 2: Convert to fraction form
    964,928.22/1,419,325.81 = 1,419,325.81/x
  3. Step 3: Cross multiply
    964,928.22x = 1,419,325.81 × 1,419,325.81
  4. Step 4: Simplify right side
    964,928.22x = 2,014,485,762,028.79
  5. Step 5: Solve for x
    x = 2,014,485,762,028.79/964,928.22
  6. Step 6: Final answer
    x = 2,087,705.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.