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Finding the Third Proportional to 761,954 and 1,674,325

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Solution

The third proportional to 761,954 and 1,674,325 is: 3,679,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,954 : 1,674,325 = 1,674,325 : x
  2. Step 2: Convert to fraction form
    761,954/1,674,325 = 1,674,325/x
  3. Step 3: Cross multiply
    761,954x = 1,674,325 × 1,674,325
  4. Step 4: Simplify right side
    761,954x = 2,803,364,205,625
  5. Step 5: Solve for x
    x = 2,803,364,205,625/761,954
  6. Step 6: Final answer
    x = 3,679,177.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.