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Finding the Third Proportional to 701,728 and 1,536,768

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Solution

The third proportional to 701,728 and 1,536,768 is: 3,365,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,728 : 1,536,768 = 1,536,768 : x
  2. Step 2: Convert to fraction form
    701,728/1,536,768 = 1,536,768/x
  3. Step 3: Cross multiply
    701,728x = 1,536,768 × 1,536,768
  4. Step 4: Simplify right side
    701,728x = 2,361,655,885,824
  5. Step 5: Solve for x
    x = 2,361,655,885,824/701,728
  6. Step 6: Final answer
    x = 3,365,486.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.