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Finding the Third Proportional to 925,427 and 1,399,805

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Solution

The third proportional to 925,427 and 1,399,805 is: 2,117,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,427 : 1,399,805 = 1,399,805 : x
  2. Step 2: Convert to fraction form
    925,427/1,399,805 = 1,399,805/x
  3. Step 3: Cross multiply
    925,427x = 1,399,805 × 1,399,805
  4. Step 4: Simplify right side
    925,427x = 1,959,454,038,025
  5. Step 5: Solve for x
    x = 1,959,454,038,025/925,427
  6. Step 6: Final answer
    x = 2,117,351.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.