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Finding the Third Proportional to 770,858 and 1,695,488

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Solution

The third proportional to 770,858 and 1,695,488 is: 3,729,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,858 : 1,695,488 = 1,695,488 : x
  2. Step 2: Convert to fraction form
    770,858/1,695,488 = 1,695,488/x
  3. Step 3: Cross multiply
    770,858x = 1,695,488 × 1,695,488
  4. Step 4: Simplify right side
    770,858x = 2,874,679,558,144
  5. Step 5: Solve for x
    x = 2,874,679,558,144/770,858
  6. Step 6: Final answer
    x = 3,729,194.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.