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Finding the Third Proportional to 840,609 and 1,741,033

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Solution

The third proportional to 840,609 and 1,741,033 is: 3,605,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,609 : 1,741,033 = 1,741,033 : x
  2. Step 2: Convert to fraction form
    840,609/1,741,033 = 1,741,033/x
  3. Step 3: Cross multiply
    840,609x = 1,741,033 × 1,741,033
  4. Step 4: Simplify right side
    840,609x = 3,031,195,907,089
  5. Step 5: Solve for x
    x = 3,031,195,907,089/840,609
  6. Step 6: Final answer
    x = 3,605,952.24

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.