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Finding the Third Proportional to 842,496 and 1,871,616

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Solution

The third proportional to 842,496 and 1,871,616 is: 4,157,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,496 : 1,871,616 = 1,871,616 : x
  2. Step 2: Convert to fraction form
    842,496/1,871,616 = 1,871,616/x
  3. Step 3: Cross multiply
    842,496x = 1,871,616 × 1,871,616
  4. Step 4: Simplify right side
    842,496x = 3,502,946,451,456
  5. Step 5: Solve for x
    x = 3,502,946,451,456/842,496
  6. Step 6: Final answer
    x = 4,157,819.68

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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.