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Finding the Third Proportional to 1,057,186.69 and 1,610,566.03

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Solution

The third proportional to 1,057,186.69 and 1,610,566.03 is: 2,453,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,186.69 : 1,610,566.03 = 1,610,566.03 : x
  2. Step 2: Convert to fraction form
    1,057,186.69/1,610,566.03 = 1,610,566.03/x
  3. Step 3: Cross multiply
    1,057,186.69x = 1,610,566.03 × 1,610,566.03
  4. Step 4: Simplify right side
    1,057,186.69x = 2,593,922,941,016.38
  5. Step 5: Solve for x
    x = 2,593,922,941,016.38/1,057,186.69
  6. Step 6: Final answer
    x = 2,453,609.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.