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Finding the Third Proportional to 1,645,165 and 2,488,487.50

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Solution

The third proportional to 1,645,165 and 2,488,487.50 is: 3,764,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,165 : 2,488,487.50 = 2,488,487.50 : x
  2. Step 2: Convert to fraction form
    1,645,165/2,488,487.50 = 2,488,487.50/x
  3. Step 3: Cross multiply
    1,645,165x = 2,488,487.50 × 2,488,487.50
  4. Step 4: Simplify right side
    1,645,165x = 6,192,570,037,656.25
  5. Step 5: Solve for x
    x = 6,192,570,037,656.25/1,645,165
  6. Step 6: Final answer
    x = 3,764,102.71

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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.