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Finding the Third Proportional to 408,262 and 886,629

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Solution

The third proportional to 408,262 and 886,629 is: 1,925,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,262 : 886,629 = 886,629 : x
  2. Step 2: Convert to fraction form
    408,262/886,629 = 886,629/x
  3. Step 3: Cross multiply
    408,262x = 886,629 × 886,629
  4. Step 4: Simplify right side
    408,262x = 786,110,983,641
  5. Step 5: Solve for x
    x = 786,110,983,641/408,262
  6. Step 6: Final answer
    x = 1,925,506.13

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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.