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Finding the Third Proportional to 819,936 and 1,774,656

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Solution

The third proportional to 819,936 and 1,774,656 is: 3,841,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,936 : 1,774,656 = 1,774,656 : x
  2. Step 2: Convert to fraction form
    819,936/1,774,656 = 1,774,656/x
  3. Step 3: Cross multiply
    819,936x = 1,774,656 × 1,774,656
  4. Step 4: Simplify right side
    819,936x = 3,149,403,918,336
  5. Step 5: Solve for x
    x = 3,149,403,918,336/819,936
  6. Step 6: Final answer
    x = 3,841,036.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.