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Finding the Third Proportional to 552,705 and 1,189,974

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Solution

The third proportional to 552,705 and 1,189,974 is: 2,562,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,705 : 1,189,974 = 1,189,974 : x
  2. Step 2: Convert to fraction form
    552,705/1,189,974 = 1,189,974/x
  3. Step 3: Cross multiply
    552,705x = 1,189,974 × 1,189,974
  4. Step 4: Simplify right side
    552,705x = 1,416,038,120,676
  5. Step 5: Solve for x
    x = 1,416,038,120,676/552,705
  6. Step 6: Final answer
    x = 2,562,014.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.