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Finding the Third Proportional to 605,436 and 908,154

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Solution

The third proportional to 605,436 and 908,154 is: 1,362,231

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,436 : 908,154 = 908,154 : x
  2. Step 2: Convert to fraction form
    605,436/908,154 = 908,154/x
  3. Step 3: Cross multiply
    605,436x = 908,154 × 908,154
  4. Step 4: Simplify right side
    605,436x = 824,743,687,716
  5. Step 5: Solve for x
    x = 824,743,687,716/605,436
  6. Step 6: Final answer
    x = 1,362,231

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.