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Finding the Third Proportional to 771,340 and 1,661,214

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Solution

The third proportional to 771,340 and 1,661,214 is: 3,577,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,340 : 1,661,214 = 1,661,214 : x
  2. Step 2: Convert to fraction form
    771,340/1,661,214 = 1,661,214/x
  3. Step 3: Cross multiply
    771,340x = 1,661,214 × 1,661,214
  4. Step 4: Simplify right side
    771,340x = 2,759,631,953,796
  5. Step 5: Solve for x
    x = 2,759,631,953,796/771,340
  6. Step 6: Final answer
    x = 3,577,711.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.