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Finding the Third Proportional to 850,504 and 1,370,380

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Solution

The third proportional to 850,504 and 1,370,380 is: 2,208,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,504 : 1,370,380 = 1,370,380 : x
  2. Step 2: Convert to fraction form
    850,504/1,370,380 = 1,370,380/x
  3. Step 3: Cross multiply
    850,504x = 1,370,380 × 1,370,380
  4. Step 4: Simplify right side
    850,504x = 1,877,941,344,400
  5. Step 5: Solve for x
    x = 1,877,941,344,400/850,504
  6. Step 6: Final answer
    x = 2,208,033.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.