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Finding the Third Proportional to 404,722 and 880,841

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Solution

The third proportional to 404,722 and 880,841 is: 1,917,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,722 : 880,841 = 880,841 : x
  2. Step 2: Convert to fraction form
    404,722/880,841 = 880,841/x
  3. Step 3: Cross multiply
    404,722x = 880,841 × 880,841
  4. Step 4: Simplify right side
    404,722x = 775,880,867,281
  5. Step 5: Solve for x
    x = 775,880,867,281/404,722
  6. Step 6: Final answer
    x = 1,917,071.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.