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Finding the Third Proportional to 770,588 and 1,672,488

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Solution

The third proportional to 770,588 and 1,672,488 is: 3,629,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,588 : 1,672,488 = 1,672,488 : x
  2. Step 2: Convert to fraction form
    770,588/1,672,488 = 1,672,488/x
  3. Step 3: Cross multiply
    770,588x = 1,672,488 × 1,672,488
  4. Step 4: Simplify right side
    770,588x = 2,797,216,110,144
  5. Step 5: Solve for x
    x = 2,797,216,110,144/770,588
  6. Step 6: Final answer
    x = 3,629,976.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.