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Finding the Third Proportional to 871,036 and 1,821,890

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Solution

The third proportional to 871,036 and 1,821,890 is: 3,810,730.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,036 : 1,821,890 = 1,821,890 : x
  2. Step 2: Convert to fraction form
    871,036/1,821,890 = 1,821,890/x
  3. Step 3: Cross multiply
    871,036x = 1,821,890 × 1,821,890
  4. Step 4: Simplify right side
    871,036x = 3,319,283,172,100
  5. Step 5: Solve for x
    x = 3,319,283,172,100/871,036
  6. Step 6: Final answer
    x = 3,810,730.18

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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.