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Finding the Third Proportional to 1,105,694.25 and 2,365,094.25

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Solution

The third proportional to 1,105,694.25 and 2,365,094.25 is: 5,058,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,694.25 : 2,365,094.25 = 2,365,094.25 : x
  2. Step 2: Convert to fraction form
    1,105,694.25/2,365,094.25 = 2,365,094.25/x
  3. Step 3: Cross multiply
    1,105,694.25x = 2,365,094.25 × 2,365,094.25
  4. Step 4: Simplify right side
    1,105,694.25x = 5,593,670,811,383.06
  5. Step 5: Solve for x
    x = 5,593,670,811,383.06/1,105,694.25
  6. Step 6: Final answer
    x = 5,058,967.08

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