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Finding the Third Proportional to 871,032 and 1,821,882

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Solution

The third proportional to 871,032 and 1,821,882 is: 3,810,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,032 : 1,821,882 = 1,821,882 : x
  2. Step 2: Convert to fraction form
    871,032/1,821,882 = 1,821,882/x
  3. Step 3: Cross multiply
    871,032x = 1,821,882 × 1,821,882
  4. Step 4: Simplify right side
    871,032x = 3,319,254,021,924
  5. Step 5: Solve for x
    x = 3,319,254,021,924/871,032
  6. Step 6: Final answer
    x = 3,810,714.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.