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Finding the Third Proportional to 859,456 and 1,871,834

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Solution

The third proportional to 859,456 and 1,871,834 is: 4,076,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,456 : 1,871,834 = 1,871,834 : x
  2. Step 2: Convert to fraction form
    859,456/1,871,834 = 1,871,834/x
  3. Step 3: Cross multiply
    859,456x = 1,871,834 × 1,871,834
  4. Step 4: Simplify right side
    859,456x = 3,503,762,523,556
  5. Step 5: Solve for x
    x = 3,503,762,523,556/859,456
  6. Step 6: Final answer
    x = 4,076,721.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.