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Finding the Third Proportional to 674,028 and 1,455,984

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Solution

The third proportional to 674,028 and 1,455,984 is: 3,145,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,028 : 1,455,984 = 1,455,984 : x
  2. Step 2: Convert to fraction form
    674,028/1,455,984 = 1,455,984/x
  3. Step 3: Cross multiply
    674,028x = 1,455,984 × 1,455,984
  4. Step 4: Simplify right side
    674,028x = 2,119,889,408,256
  5. Step 5: Solve for x
    x = 2,119,889,408,256/674,028
  6. Step 6: Final answer
    x = 3,145,105.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.