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Finding the Third Proportional to 852,984 and 1,824,080

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Solution

The third proportional to 852,984 and 1,824,080 is: 3,900,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,984 : 1,824,080 = 1,824,080 : x
  2. Step 2: Convert to fraction form
    852,984/1,824,080 = 1,824,080/x
  3. Step 3: Cross multiply
    852,984x = 1,824,080 × 1,824,080
  4. Step 4: Simplify right side
    852,984x = 3,327,267,846,400
  5. Step 5: Solve for x
    x = 3,327,267,846,400/852,984
  6. Step 6: Final answer
    x = 3,900,738.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.