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Finding the Third Proportional to 964,782 and 1,418,267

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Solution

The third proportional to 964,782 and 1,418,267 is: 2,084,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,782 : 1,418,267 = 1,418,267 : x
  2. Step 2: Convert to fraction form
    964,782/1,418,267 = 1,418,267/x
  3. Step 3: Cross multiply
    964,782x = 1,418,267 × 1,418,267
  4. Step 4: Simplify right side
    964,782x = 2,011,481,283,289
  5. Step 5: Solve for x
    x = 2,011,481,283,289/964,782
  6. Step 6: Final answer
    x = 2,084,907.56

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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.