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Finding the Third Proportional to 834,546 and 1,255,811

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Solution

The third proportional to 834,546 and 1,255,811 is: 1,889,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,546 : 1,255,811 = 1,255,811 : x
  2. Step 2: Convert to fraction form
    834,546/1,255,811 = 1,255,811/x
  3. Step 3: Cross multiply
    834,546x = 1,255,811 × 1,255,811
  4. Step 4: Simplify right side
    834,546x = 1,577,061,267,721
  5. Step 5: Solve for x
    x = 1,577,061,267,721/834,546
  6. Step 6: Final answer
    x = 1,889,723.60

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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.