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Finding the Third Proportional to 861,720 and 1,765,232

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Solution

The third proportional to 861,720 and 1,765,232 is: 3,616,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,720 : 1,765,232 = 1,765,232 : x
  2. Step 2: Convert to fraction form
    861,720/1,765,232 = 1,765,232/x
  3. Step 3: Cross multiply
    861,720x = 1,765,232 × 1,765,232
  4. Step 4: Simplify right side
    861,720x = 3,116,044,013,824
  5. Step 5: Solve for x
    x = 3,116,044,013,824/861,720
  6. Step 6: Final answer
    x = 3,616,074.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.