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Finding the Third Proportional to 1,683,792 and 2,575,824

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Solution

The third proportional to 1,683,792 and 2,575,824 is: 3,940,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,792 : 2,575,824 = 2,575,824 : x
  2. Step 2: Convert to fraction form
    1,683,792/2,575,824 = 2,575,824/x
  3. Step 3: Cross multiply
    1,683,792x = 2,575,824 × 2,575,824
  4. Step 4: Simplify right side
    1,683,792x = 6,634,869,278,976
  5. Step 5: Solve for x
    x = 6,634,869,278,976/1,683,792
  6. Step 6: Final answer
    x = 3,940,432.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.