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Finding the Third Proportional to 413,416 and 892,928

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Solution

The third proportional to 413,416 and 892,928 is: 1,928,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,416 : 892,928 = 892,928 : x
  2. Step 2: Convert to fraction form
    413,416/892,928 = 892,928/x
  3. Step 3: Cross multiply
    413,416x = 892,928 × 892,928
  4. Step 4: Simplify right side
    413,416x = 797,320,413,184
  5. Step 5: Solve for x
    x = 797,320,413,184/413,416
  6. Step 6: Final answer
    x = 1,928,615.28

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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.