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Finding the Third Proportional to 824,272 and 1,749,632

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Solution

The third proportional to 824,272 and 1,749,632 is: 3,713,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,272 : 1,749,632 = 1,749,632 : x
  2. Step 2: Convert to fraction form
    824,272/1,749,632 = 1,749,632/x
  3. Step 3: Cross multiply
    824,272x = 1,749,632 × 1,749,632
  4. Step 4: Simplify right side
    824,272x = 3,061,212,135,424
  5. Step 5: Solve for x
    x = 3,061,212,135,424/824,272
  6. Step 6: Final answer
    x = 3,713,837.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.