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Finding the Third Proportional to 814,992 and 1,781,448

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Solution

The third proportional to 814,992 and 1,781,448 is: 3,893,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,992 : 1,781,448 = 1,781,448 : x
  2. Step 2: Convert to fraction form
    814,992/1,781,448 = 1,781,448/x
  3. Step 3: Cross multiply
    814,992x = 1,781,448 × 1,781,448
  4. Step 4: Simplify right side
    814,992x = 3,173,556,976,704
  5. Step 5: Solve for x
    x = 3,173,556,976,704/814,992
  6. Step 6: Final answer
    x = 3,893,973.16

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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.