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Finding the Third Proportional to 672,042 and 1,040,353

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Solution

The third proportional to 672,042 and 1,040,353 is: 1,610,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,042 : 1,040,353 = 1,040,353 : x
  2. Step 2: Convert to fraction form
    672,042/1,040,353 = 1,040,353/x
  3. Step 3: Cross multiply
    672,042x = 1,040,353 × 1,040,353
  4. Step 4: Simplify right side
    672,042x = 1,082,334,364,609
  5. Step 5: Solve for x
    x = 1,082,334,364,609/672,042
  6. Step 6: Final answer
    x = 1,610,515.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.