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Finding the Third Proportional to 611,839 and 1,312,252

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Solution

The third proportional to 611,839 and 1,312,252 is: 2,814,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,839 : 1,312,252 = 1,312,252 : x
  2. Step 2: Convert to fraction form
    611,839/1,312,252 = 1,312,252/x
  3. Step 3: Cross multiply
    611,839x = 1,312,252 × 1,312,252
  4. Step 4: Simplify right side
    611,839x = 1,722,005,311,504
  5. Step 5: Solve for x
    x = 1,722,005,311,504/611,839
  6. Step 6: Final answer
    x = 2,814,474.58

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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.