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Finding the Third Proportional to 874,136 and 1,350,021

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Solution

The third proportional to 874,136 and 1,350,021 is: 2,084,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,136 : 1,350,021 = 1,350,021 : x
  2. Step 2: Convert to fraction form
    874,136/1,350,021 = 1,350,021/x
  3. Step 3: Cross multiply
    874,136x = 1,350,021 × 1,350,021
  4. Step 4: Simplify right side
    874,136x = 1,822,556,700,441
  5. Step 5: Solve for x
    x = 1,822,556,700,441/874,136
  6. Step 6: Final answer
    x = 2,084,980.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.