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Finding the Third Proportional to 405,229 and 881,810

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Solution

The third proportional to 405,229 and 881,810 is: 1,918,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,229 : 881,810 = 881,810 : x
  2. Step 2: Convert to fraction form
    405,229/881,810 = 881,810/x
  3. Step 3: Cross multiply
    405,229x = 881,810 × 881,810
  4. Step 4: Simplify right side
    405,229x = 777,588,876,100
  5. Step 5: Solve for x
    x = 777,588,876,100/405,229
  6. Step 6: Final answer
    x = 1,918,887.53

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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.