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Finding the Third Proportional to 794,640 and 1,740,444

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Solution

The third proportional to 794,640 and 1,740,444 is: 3,811,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,640 : 1,740,444 = 1,740,444 : x
  2. Step 2: Convert to fraction form
    794,640/1,740,444 = 1,740,444/x
  3. Step 3: Cross multiply
    794,640x = 1,740,444 × 1,740,444
  4. Step 4: Simplify right side
    794,640x = 3,029,145,317,136
  5. Step 5: Solve for x
    x = 3,029,145,317,136/794,640
  6. Step 6: Final answer
    x = 3,811,971.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.