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Finding the Third Proportional to 871,020 and 1,821,879

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Solution

The third proportional to 871,020 and 1,821,879 is: 3,810,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,020 : 1,821,879 = 1,821,879 : x
  2. Step 2: Convert to fraction form
    871,020/1,821,879 = 1,821,879/x
  3. Step 3: Cross multiply
    871,020x = 1,821,879 × 1,821,879
  4. Step 4: Simplify right side
    871,020x = 3,319,243,090,641
  5. Step 5: Solve for x
    x = 3,319,243,090,641/871,020
  6. Step 6: Final answer
    x = 3,810,754.16

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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.