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Finding the Third Proportional to 964,965 and 1,419,378

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Solution

The third proportional to 964,965 and 1,419,378 is: 2,087,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,965 : 1,419,378 = 1,419,378 : x
  2. Step 2: Convert to fraction form
    964,965/1,419,378 = 1,419,378/x
  3. Step 3: Cross multiply
    964,965x = 1,419,378 × 1,419,378
  4. Step 4: Simplify right side
    964,965x = 2,014,633,906,884
  5. Step 5: Solve for x
    x = 2,014,633,906,884/964,965
  6. Step 6: Final answer
    x = 2,087,779.25

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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.