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Finding the Third Proportional to 771,336 and 1,661,205

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Solution

The third proportional to 771,336 and 1,661,205 is: 3,577,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,336 : 1,661,205 = 1,661,205 : x
  2. Step 2: Convert to fraction form
    771,336/1,661,205 = 1,661,205/x
  3. Step 3: Cross multiply
    771,336x = 1,661,205 × 1,661,205
  4. Step 4: Simplify right side
    771,336x = 2,759,602,052,025
  5. Step 5: Solve for x
    x = 2,759,602,052,025/771,336
  6. Step 6: Final answer
    x = 3,577,691.24

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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.