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Finding the Third Proportional to 414,657 and 871,083

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Solution

The third proportional to 414,657 and 871,083 is: 1,829,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,657 : 871,083 = 871,083 : x
  2. Step 2: Convert to fraction form
    414,657/871,083 = 871,083/x
  3. Step 3: Cross multiply
    414,657x = 871,083 × 871,083
  4. Step 4: Simplify right side
    414,657x = 758,785,592,889
  5. Step 5: Solve for x
    x = 758,785,592,889/414,657
  6. Step 6: Final answer
    x = 1,829,911.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.