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Finding the Third Proportional to 965,997.75 and 1,419,459

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Solution

The third proportional to 965,997.75 and 1,419,459 is: 2,085,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,997.75 : 1,419,459 = 1,419,459 : x
  2. Step 2: Convert to fraction form
    965,997.75/1,419,459 = 1,419,459/x
  3. Step 3: Cross multiply
    965,997.75x = 1,419,459 × 1,419,459
  4. Step 4: Simplify right side
    965,997.75x = 2,014,863,852,681
  5. Step 5: Solve for x
    x = 2,014,863,852,681/965,997.75
  6. Step 6: Final answer
    x = 2,085,785.24

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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.