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Finding the Third Proportional to 619,290 and 957,111

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Solution

The third proportional to 619,290 and 957,111 is: 1,479,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,290 : 957,111 = 957,111 : x
  2. Step 2: Convert to fraction form
    619,290/957,111 = 957,111/x
  3. Step 3: Cross multiply
    619,290x = 957,111 × 957,111
  4. Step 4: Simplify right side
    619,290x = 916,061,466,321
  5. Step 5: Solve for x
    x = 916,061,466,321/619,290
  6. Step 6: Final answer
    x = 1,479,212.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.