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Finding the Third Proportional to 619,101 and 925,803

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Solution

The third proportional to 619,101 and 925,803 is: 1,384,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,101 : 925,803 = 925,803 : x
  2. Step 2: Convert to fraction form
    619,101/925,803 = 925,803/x
  3. Step 3: Cross multiply
    619,101x = 925,803 × 925,803
  4. Step 4: Simplify right side
    619,101x = 857,111,194,809
  5. Step 5: Solve for x
    x = 857,111,194,809/619,101
  6. Step 6: Final answer
    x = 1,384,444.86

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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.