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Finding the Third Proportional to 605,424 and 908,136

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Solution

The third proportional to 605,424 and 908,136 is: 1,362,204

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,424 : 908,136 = 908,136 : x
  2. Step 2: Convert to fraction form
    605,424/908,136 = 908,136/x
  3. Step 3: Cross multiply
    605,424x = 908,136 × 908,136
  4. Step 4: Simplify right side
    605,424x = 824,710,994,496
  5. Step 5: Solve for x
    x = 824,710,994,496/605,424
  6. Step 6: Final answer
    x = 1,362,204

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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.