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Finding the Third Proportional to 746,042 and 1,610,016

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Solution

The third proportional to 746,042 and 1,610,016 is: 3,474,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,042 : 1,610,016 = 1,610,016 : x
  2. Step 2: Convert to fraction form
    746,042/1,610,016 = 1,610,016/x
  3. Step 3: Cross multiply
    746,042x = 1,610,016 × 1,610,016
  4. Step 4: Simplify right side
    746,042x = 2,592,151,520,256
  5. Step 5: Solve for x
    x = 2,592,151,520,256/746,042
  6. Step 6: Final answer
    x = 3,474,538.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.