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Finding the Third Proportional to 749,193 and 1,618,271

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Solution

The third proportional to 749,193 and 1,618,271 is: 3,495,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,193 : 1,618,271 = 1,618,271 : x
  2. Step 2: Convert to fraction form
    749,193/1,618,271 = 1,618,271/x
  3. Step 3: Cross multiply
    749,193x = 1,618,271 × 1,618,271
  4. Step 4: Simplify right side
    749,193x = 2,618,801,029,441
  5. Step 5: Solve for x
    x = 2,618,801,029,441/749,193
  6. Step 6: Final answer
    x = 3,495,495.86

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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.