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Finding the Third Proportional to 408,257 and 886,617

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Solution

The third proportional to 408,257 and 886,617 is: 1,925,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,257 : 886,617 = 886,617 : x
  2. Step 2: Convert to fraction form
    408,257/886,617 = 886,617/x
  3. Step 3: Cross multiply
    408,257x = 886,617 × 886,617
  4. Step 4: Simplify right side
    408,257x = 786,089,704,689
  5. Step 5: Solve for x
    x = 786,089,704,689/408,257
  6. Step 6: Final answer
    x = 1,925,477.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.