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Finding the Third Proportional to 3,029,880.62 and 4,823,468.37

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Solution

The third proportional to 3,029,880.62 and 4,823,468.37 is: 7,678,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,880.62 : 4,823,468.37 = 4,823,468.37 : x
  2. Step 2: Convert to fraction form
    3,029,880.62/4,823,468.37 = 4,823,468.37/x
  3. Step 3: Cross multiply
    3,029,880.62x = 4,823,468.37 × 4,823,468.37
  4. Step 4: Simplify right side
    3,029,880.62x = 23,265,847,089,258.45
  5. Step 5: Solve for x
    x = 23,265,847,089,258.45/3,029,880.62
  6. Step 6: Final answer
    x = 7,678,799.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.