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Finding the Third Proportional to 405,924 and 876,890

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Solution

The third proportional to 405,924 and 876,890 is: 1,894,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,924 : 876,890 = 876,890 : x
  2. Step 2: Convert to fraction form
    405,924/876,890 = 876,890/x
  3. Step 3: Cross multiply
    405,924x = 876,890 × 876,890
  4. Step 4: Simplify right side
    405,924x = 768,936,072,100
  5. Step 5: Solve for x
    x = 768,936,072,100/405,924
  6. Step 6: Final answer
    x = 1,894,285.81

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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.