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Finding the Third Proportional to 619,892 and 957,474

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Solution

The third proportional to 619,892 and 957,474 is: 1,478,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,892 : 957,474 = 957,474 : x
  2. Step 2: Convert to fraction form
    619,892/957,474 = 957,474/x
  3. Step 3: Cross multiply
    619,892x = 957,474 × 957,474
  4. Step 4: Simplify right side
    619,892x = 916,756,460,676
  5. Step 5: Solve for x
    x = 916,756,460,676/619,892
  6. Step 6: Final answer
    x = 1,478,897.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.