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Finding the Third Proportional to 863,144 and 1,306,711

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Solution

The third proportional to 863,144 and 1,306,711 is: 1,978,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,144 : 1,306,711 = 1,306,711 : x
  2. Step 2: Convert to fraction form
    863,144/1,306,711 = 1,306,711/x
  3. Step 3: Cross multiply
    863,144x = 1,306,711 × 1,306,711
  4. Step 4: Simplify right side
    863,144x = 1,707,493,637,521
  5. Step 5: Solve for x
    x = 1,707,493,637,521/863,144
  6. Step 6: Final answer
    x = 1,978,225.69

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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.