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Finding the Third Proportional to 925,992 and 1,877,724

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Solution

The third proportional to 925,992 and 1,877,724 is: 3,807,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,992 : 1,877,724 = 1,877,724 : x
  2. Step 2: Convert to fraction form
    925,992/1,877,724 = 1,877,724/x
  3. Step 3: Cross multiply
    925,992x = 1,877,724 × 1,877,724
  4. Step 4: Simplify right side
    925,992x = 3,525,847,420,176
  5. Step 5: Solve for x
    x = 3,525,847,420,176/925,992
  6. Step 6: Final answer
    x = 3,807,643.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.