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Finding the Third Proportional to 871,824 and 1,838,304

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Solution

The third proportional to 871,824 and 1,838,304 is: 3,876,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,824 : 1,838,304 = 1,838,304 : x
  2. Step 2: Convert to fraction form
    871,824/1,838,304 = 1,838,304/x
  3. Step 3: Cross multiply
    871,824x = 1,838,304 × 1,838,304
  4. Step 4: Simplify right side
    871,824x = 3,379,361,596,416
  5. Step 5: Solve for x
    x = 3,379,361,596,416/871,824
  6. Step 6: Final answer
    x = 3,876,197.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.