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Finding the Third Proportional to 749,168 and 1,618,043

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Solution

The third proportional to 749,168 and 1,618,043 is: 3,494,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,168 : 1,618,043 = 1,618,043 : x
  2. Step 2: Convert to fraction form
    749,168/1,618,043 = 1,618,043/x
  3. Step 3: Cross multiply
    749,168x = 1,618,043 × 1,618,043
  4. Step 4: Simplify right side
    749,168x = 2,618,063,149,849
  5. Step 5: Solve for x
    x = 2,618,063,149,849/749,168
  6. Step 6: Final answer
    x = 3,494,627.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.