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Finding the Third Proportional to 536,220 and 1,178,706

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Solution

The third proportional to 536,220 and 1,178,706 is: 2,591,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,220 : 1,178,706 = 1,178,706 : x
  2. Step 2: Convert to fraction form
    536,220/1,178,706 = 1,178,706/x
  3. Step 3: Cross multiply
    536,220x = 1,178,706 × 1,178,706
  4. Step 4: Simplify right side
    536,220x = 1,389,347,834,436
  5. Step 5: Solve for x
    x = 1,389,347,834,436/536,220
  6. Step 6: Final answer
    x = 2,591,003.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.