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Finding the Third Proportional to 824,706 and 1,276,965

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Solution

The third proportional to 824,706 and 1,276,965 is: 1,977,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,706 : 1,276,965 = 1,276,965 : x
  2. Step 2: Convert to fraction form
    824,706/1,276,965 = 1,276,965/x
  3. Step 3: Cross multiply
    824,706x = 1,276,965 × 1,276,965
  4. Step 4: Simplify right side
    824,706x = 1,630,639,611,225
  5. Step 5: Solve for x
    x = 1,630,639,611,225/824,706
  6. Step 6: Final answer
    x = 1,977,237.48

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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.