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Finding the Third Proportional to 611,837 and 1,312,249

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Solution

The third proportional to 611,837 and 1,312,249 is: 2,814,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,837 : 1,312,249 = 1,312,249 : x
  2. Step 2: Convert to fraction form
    611,837/1,312,249 = 1,312,249/x
  3. Step 3: Cross multiply
    611,837x = 1,312,249 × 1,312,249
  4. Step 4: Simplify right side
    611,837x = 1,721,997,438,001
  5. Step 5: Solve for x
    x = 1,721,997,438,001/611,837
  6. Step 6: Final answer
    x = 2,814,470.91

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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.