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Finding the Third Proportional to 889,830 and 1,905,765

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Solution

The third proportional to 889,830 and 1,905,765 is: 4,081,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,830 : 1,905,765 = 1,905,765 : x
  2. Step 2: Convert to fraction form
    889,830/1,905,765 = 1,905,765/x
  3. Step 3: Cross multiply
    889,830x = 1,905,765 × 1,905,765
  4. Step 4: Simplify right side
    889,830x = 3,631,940,235,225
  5. Step 5: Solve for x
    x = 3,631,940,235,225/889,830
  6. Step 6: Final answer
    x = 4,081,611.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.