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Finding the Third Proportional to 852,678 and 1,231,873.50

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Solution

The third proportional to 852,678 and 1,231,873.50 is: 1,779,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,678 : 1,231,873.50 = 1,231,873.50 : x
  2. Step 2: Convert to fraction form
    852,678/1,231,873.50 = 1,231,873.50/x
  3. Step 3: Cross multiply
    852,678x = 1,231,873.50 × 1,231,873.50
  4. Step 4: Simplify right side
    852,678x = 1,517,512,320,002.25
  5. Step 5: Solve for x
    x = 1,517,512,320,002.25/852,678
  6. Step 6: Final answer
    x = 1,779,701.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.