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Finding the Third Proportional to 814,935 and 1,781,320

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Solution

The third proportional to 814,935 and 1,781,320 is: 3,893,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,935 : 1,781,320 = 1,781,320 : x
  2. Step 2: Convert to fraction form
    814,935/1,781,320 = 1,781,320/x
  3. Step 3: Cross multiply
    814,935x = 1,781,320 × 1,781,320
  4. Step 4: Simplify right side
    814,935x = 3,173,100,942,400
  5. Step 5: Solve for x
    x = 3,173,100,942,400/814,935
  6. Step 6: Final answer
    x = 3,893,685.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.