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Finding the Third Proportional to 1,211,304 and 1,764,375

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Solution

The third proportional to 1,211,304 and 1,764,375 is: 2,569,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,304 : 1,764,375 = 1,764,375 : x
  2. Step 2: Convert to fraction form
    1,211,304/1,764,375 = 1,764,375/x
  3. Step 3: Cross multiply
    1,211,304x = 1,764,375 × 1,764,375
  4. Step 4: Simplify right side
    1,211,304x = 3,113,019,140,625
  5. Step 5: Solve for x
    x = 3,113,019,140,625/1,211,304
  6. Step 6: Final answer
    x = 2,569,973.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.