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Finding the Third Proportional to 871,038 and 1,821,878

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Solution

The third proportional to 871,038 and 1,821,878 is: 3,810,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,038 : 1,821,878 = 1,821,878 : x
  2. Step 2: Convert to fraction form
    871,038/1,821,878 = 1,821,878/x
  3. Step 3: Cross multiply
    871,038x = 1,821,878 × 1,821,878
  4. Step 4: Simplify right side
    871,038x = 3,319,239,446,884
  5. Step 5: Solve for x
    x = 3,319,239,446,884/871,038
  6. Step 6: Final answer
    x = 3,810,671.23

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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.