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Finding the Third Proportional to 842,592 and 1,871,808

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Solution

The third proportional to 842,592 and 1,871,808 is: 4,158,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,592 : 1,871,808 = 1,871,808 : x
  2. Step 2: Convert to fraction form
    842,592/1,871,808 = 1,871,808/x
  3. Step 3: Cross multiply
    842,592x = 1,871,808 × 1,871,808
  4. Step 4: Simplify right side
    842,592x = 3,503,665,188,864
  5. Step 5: Solve for x
    x = 3,503,665,188,864/842,592
  6. Step 6: Final answer
    x = 4,158,198.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.