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Finding the Third Proportional to 392,444 and 847,604

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Solution

The third proportional to 392,444 and 847,604 is: 1,830,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,444 : 847,604 = 847,604 : x
  2. Step 2: Convert to fraction form
    392,444/847,604 = 847,604/x
  3. Step 3: Cross multiply
    392,444x = 847,604 × 847,604
  4. Step 4: Simplify right side
    392,444x = 718,432,540,816
  5. Step 5: Solve for x
    x = 718,432,540,816/392,444
  6. Step 6: Final answer
    x = 1,830,662.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.