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Finding the Third Proportional to 554,586 and 856,334

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Solution

The third proportional to 554,586 and 856,334 is: 1,322,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,586 : 856,334 = 856,334 : x
  2. Step 2: Convert to fraction form
    554,586/856,334 = 856,334/x
  3. Step 3: Cross multiply
    554,586x = 856,334 × 856,334
  4. Step 4: Simplify right side
    554,586x = 733,307,919,556
  5. Step 5: Solve for x
    x = 733,307,919,556/554,586
  6. Step 6: Final answer
    x = 1,322,261.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.