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Finding the Third Proportional to 959,520 and 1,408,176

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Solution

The third proportional to 959,520 and 1,408,176 is: 2,066,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,520 : 1,408,176 = 1,408,176 : x
  2. Step 2: Convert to fraction form
    959,520/1,408,176 = 1,408,176/x
  3. Step 3: Cross multiply
    959,520x = 1,408,176 × 1,408,176
  4. Step 4: Simplify right side
    959,520x = 1,982,959,646,976
  5. Step 5: Solve for x
    x = 1,982,959,646,976/959,520
  6. Step 6: Final answer
    x = 2,066,616.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.