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Finding the Third Proportional to 906,174 and 1,439,619

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Solution

The third proportional to 906,174 and 1,439,619 is: 2,287,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,174 : 1,439,619 = 1,439,619 : x
  2. Step 2: Convert to fraction form
    906,174/1,439,619 = 1,439,619/x
  3. Step 3: Cross multiply
    906,174x = 1,439,619 × 1,439,619
  4. Step 4: Simplify right side
    906,174x = 2,072,502,865,161
  5. Step 5: Solve for x
    x = 2,072,502,865,161/906,174
  6. Step 6: Final answer
    x = 2,287,091.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.