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Finding the Third Proportional to 4,260,669 and 5,992,912.50

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Solution

The third proportional to 4,260,669 and 5,992,912.50 is: 8,429,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260,669 : 5,992,912.50 = 5,992,912.50 : x
  2. Step 2: Convert to fraction form
    4,260,669/5,992,912.50 = 5,992,912.50/x
  3. Step 3: Cross multiply
    4,260,669x = 5,992,912.50 × 5,992,912.50
  4. Step 4: Simplify right side
    4,260,669x = 35,915,000,232,656.25
  5. Step 5: Solve for x
    x = 35,915,000,232,656.25/4,260,669
  6. Step 6: Final answer
    x = 8,429,427.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.