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Finding the Third Proportional to 889,851.75 and 1,905,807

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Solution

The third proportional to 889,851.75 and 1,905,807 is: 4,081,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,851.75 : 1,905,807 = 1,905,807 : x
  2. Step 2: Convert to fraction form
    889,851.75/1,905,807 = 1,905,807/x
  3. Step 3: Cross multiply
    889,851.75x = 1,905,807 × 1,905,807
  4. Step 4: Simplify right side
    889,851.75x = 3,632,100,321,249
  5. Step 5: Solve for x
    x = 3,632,100,321,249/889,851.75
  6. Step 6: Final answer
    x = 4,081,691.50

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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.