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Finding the Third Proportional to 3,990,792 and 6,085,829.25

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Solution

The third proportional to 3,990,792 and 6,085,829.25 is: 9,280,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990,792 : 6,085,829.25 = 6,085,829.25 : x
  2. Step 2: Convert to fraction form
    3,990,792/6,085,829.25 = 6,085,829.25/x
  3. Step 3: Cross multiply
    3,990,792x = 6,085,829.25 × 6,085,829.25
  4. Step 4: Simplify right side
    3,990,792x = 37,037,317,660,155.56
  5. Step 5: Solve for x
    x = 37,037,317,660,155.56/3,990,792
  6. Step 6: Final answer
    x = 9,280,693.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.