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Finding the Third Proportional to 786,034 and 1,684,220

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Solution

The third proportional to 786,034 and 1,684,220 is: 3,608,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,034 : 1,684,220 = 1,684,220 : x
  2. Step 2: Convert to fraction form
    786,034/1,684,220 = 1,684,220/x
  3. Step 3: Cross multiply
    786,034x = 1,684,220 × 1,684,220
  4. Step 4: Simplify right side
    786,034x = 2,836,597,008,400
  5. Step 5: Solve for x
    x = 2,836,597,008,400/786,034
  6. Step 6: Final answer
    x = 3,608,745.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.