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Finding the Third Proportional to 842,168 and 1,841,804

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Solution

The third proportional to 842,168 and 1,841,804 is: 4,027,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,168 : 1,841,804 = 1,841,804 : x
  2. Step 2: Convert to fraction form
    842,168/1,841,804 = 1,841,804/x
  3. Step 3: Cross multiply
    842,168x = 1,841,804 × 1,841,804
  4. Step 4: Simplify right side
    842,168x = 3,392,241,974,416
  5. Step 5: Solve for x
    x = 3,392,241,974,416/842,168
  6. Step 6: Final answer
    x = 4,027,987.26

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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.