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Finding the Third Proportional to 611,839.50 and 1,312,254

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Solution

The third proportional to 611,839.50 and 1,312,254 is: 2,814,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,839.50 : 1,312,254 = 1,312,254 : x
  2. Step 2: Convert to fraction form
    611,839.50/1,312,254 = 1,312,254/x
  3. Step 3: Cross multiply
    611,839.50x = 1,312,254 × 1,312,254
  4. Step 4: Simplify right side
    611,839.50x = 1,722,010,560,516
  5. Step 5: Solve for x
    x = 1,722,010,560,516/611,839.50
  6. Step 6: Final answer
    x = 2,814,480.86

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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.