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Finding the Third Proportional to 611,809 and 1,312,163

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Solution

The third proportional to 611,809 and 1,312,163 is: 2,814,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,809 : 1,312,163 = 1,312,163 : x
  2. Step 2: Convert to fraction form
    611,809/1,312,163 = 1,312,163/x
  3. Step 3: Cross multiply
    611,809x = 1,312,163 × 1,312,163
  4. Step 4: Simplify right side
    611,809x = 1,721,771,738,569
  5. Step 5: Solve for x
    x = 1,721,771,738,569/611,809
  6. Step 6: Final answer
    x = 2,814,230.81

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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.