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Finding the Third Proportional to 619,096 and 925,798

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Solution

The third proportional to 619,096 and 925,798 is: 1,384,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,096 : 925,798 = 925,798 : x
  2. Step 2: Convert to fraction form
    619,096/925,798 = 925,798/x
  3. Step 3: Cross multiply
    619,096x = 925,798 × 925,798
  4. Step 4: Simplify right side
    619,096x = 857,101,936,804
  5. Step 5: Solve for x
    x = 857,101,936,804/619,096
  6. Step 6: Final answer
    x = 1,384,441.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.