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Finding the Third Proportional to 503,136 and 1,085,040

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Solution

The third proportional to 503,136 and 1,085,040 is: 2,339,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,136 : 1,085,040 = 1,085,040 : x
  2. Step 2: Convert to fraction form
    503,136/1,085,040 = 1,085,040/x
  3. Step 3: Cross multiply
    503,136x = 1,085,040 × 1,085,040
  4. Step 4: Simplify right side
    503,136x = 1,177,311,801,600
  5. Step 5: Solve for x
    x = 1,177,311,801,600/503,136
  6. Step 6: Final answer
    x = 2,339,947.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.