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Finding the Third Proportional to 454,408 and 955,824

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Solution

The third proportional to 454,408 and 955,824 is: 2,010,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,408 : 955,824 = 955,824 : x
  2. Step 2: Convert to fraction form
    454,408/955,824 = 955,824/x
  3. Step 3: Cross multiply
    454,408x = 955,824 × 955,824
  4. Step 4: Simplify right side
    454,408x = 913,599,518,976
  5. Step 5: Solve for x
    x = 913,599,518,976/454,408
  6. Step 6: Final answer
    x = 2,010,526.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.