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Finding the Third Proportional to 611,412 and 815,436

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Solution

The third proportional to 611,412 and 815,436 is: 1,087,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,412 : 815,436 = 815,436 : x
  2. Step 2: Convert to fraction form
    611,412/815,436 = 815,436/x
  3. Step 3: Cross multiply
    611,412x = 815,436 × 815,436
  4. Step 4: Simplify right side
    611,412x = 664,935,870,096
  5. Step 5: Solve for x
    x = 664,935,870,096/611,412
  6. Step 6: Final answer
    x = 1,087,541.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.