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Finding the Third Proportional to 693,174 and 1,489,488

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Solution

The third proportional to 693,174 and 1,489,488 is: 3,200,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,174 : 1,489,488 = 1,489,488 : x
  2. Step 2: Convert to fraction form
    693,174/1,489,488 = 1,489,488/x
  3. Step 3: Cross multiply
    693,174x = 1,489,488 × 1,489,488
  4. Step 4: Simplify right side
    693,174x = 2,218,574,502,144
  5. Step 5: Solve for x
    x = 2,218,574,502,144/693,174
  6. Step 6: Final answer
    x = 3,200,602.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.