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Finding the Third Proportional to 777,683 and 1,617,444

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Solution

The third proportional to 777,683 and 1,617,444 is: 3,363,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,683 : 1,617,444 = 1,617,444 : x
  2. Step 2: Convert to fraction form
    777,683/1,617,444 = 1,617,444/x
  3. Step 3: Cross multiply
    777,683x = 1,617,444 × 1,617,444
  4. Step 4: Simplify right side
    777,683x = 2,616,125,093,136
  5. Step 5: Solve for x
    x = 2,616,125,093,136/777,683
  6. Step 6: Final answer
    x = 3,363,999.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.