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Finding the Third Proportional to 611,847 and 1,312,265

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Solution

The third proportional to 611,847 and 1,312,265 is: 2,814,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,847 : 1,312,265 = 1,312,265 : x
  2. Step 2: Convert to fraction form
    611,847/1,312,265 = 1,312,265/x
  3. Step 3: Cross multiply
    611,847x = 1,312,265 × 1,312,265
  4. Step 4: Simplify right side
    611,847x = 1,722,039,430,225
  5. Step 5: Solve for x
    x = 1,722,039,430,225/611,847
  6. Step 6: Final answer
    x = 2,814,493.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.