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Finding the Third Proportional to 804,620 and 1,675,380

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Solution

The third proportional to 804,620 and 1,675,380 is: 3,488,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,620 : 1,675,380 = 1,675,380 : x
  2. Step 2: Convert to fraction form
    804,620/1,675,380 = 1,675,380/x
  3. Step 3: Cross multiply
    804,620x = 1,675,380 × 1,675,380
  4. Step 4: Simplify right side
    804,620x = 2,806,898,144,400
  5. Step 5: Solve for x
    x = 2,806,898,144,400/804,620
  6. Step 6: Final answer
    x = 3,488,476.73

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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.