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Finding the Third Proportional to 633,492 and 991,728

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Solution

The third proportional to 633,492 and 991,728 is: 1,552,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,492 : 991,728 = 991,728 : x
  2. Step 2: Convert to fraction form
    633,492/991,728 = 991,728/x
  3. Step 3: Cross multiply
    633,492x = 991,728 × 991,728
  4. Step 4: Simplify right side
    633,492x = 983,524,425,984
  5. Step 5: Solve for x
    x = 983,524,425,984/633,492
  6. Step 6: Final answer
    x = 1,552,544.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.