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Finding the Third Proportional to 452,596 and 942,380

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Solution

The third proportional to 452,596 and 942,380 is: 1,962,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,596 : 942,380 = 942,380 : x
  2. Step 2: Convert to fraction form
    452,596/942,380 = 942,380/x
  3. Step 3: Cross multiply
    452,596x = 942,380 × 942,380
  4. Step 4: Simplify right side
    452,596x = 888,080,064,400
  5. Step 5: Solve for x
    x = 888,080,064,400/452,596
  6. Step 6: Final answer
    x = 1,962,191.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.