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Finding the Third Proportional to 3,805,140 and 5,739,965.50

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Solution

The third proportional to 3,805,140 and 5,739,965.50 is: 8,658,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805,140 : 5,739,965.50 = 5,739,965.50 : x
  2. Step 2: Convert to fraction form
    3,805,140/5,739,965.50 = 5,739,965.50/x
  3. Step 3: Cross multiply
    3,805,140x = 5,739,965.50 × 5,739,965.50
  4. Step 4: Simplify right side
    3,805,140x = 32,947,203,941,190.25
  5. Step 5: Solve for x
    x = 32,947,203,941,190.25/3,805,140
  6. Step 6: Final answer
    x = 8,658,604.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.