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Finding the Third Proportional to 964,832 and 1,418,338

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Solution

The third proportional to 964,832 and 1,418,338 is: 2,085,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,832 : 1,418,338 = 1,418,338 : x
  2. Step 2: Convert to fraction form
    964,832/1,418,338 = 1,418,338/x
  3. Step 3: Cross multiply
    964,832x = 1,418,338 × 1,418,338
  4. Step 4: Simplify right side
    964,832x = 2,011,682,682,244
  5. Step 5: Solve for x
    x = 2,011,682,682,244/964,832
  6. Step 6: Final answer
    x = 2,085,008.25

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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.