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Finding the Third Proportional to 889,728 and 1,378,833

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Solution

The third proportional to 889,728 and 1,378,833 is: 2,136,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,728 : 1,378,833 = 1,378,833 : x
  2. Step 2: Convert to fraction form
    889,728/1,378,833 = 1,378,833/x
  3. Step 3: Cross multiply
    889,728x = 1,378,833 × 1,378,833
  4. Step 4: Simplify right side
    889,728x = 1,901,180,441,889
  5. Step 5: Solve for x
    x = 1,901,180,441,889/889,728
  6. Step 6: Final answer
    x = 2,136,810.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.