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Finding the Third Proportional to 2,346,523 and 5,651,042

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Solution

The third proportional to 2,346,523 and 5,651,042 is: 13,609,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346,523 : 5,651,042 = 5,651,042 : x
  2. Step 2: Convert to fraction form
    2,346,523/5,651,042 = 5,651,042/x
  3. Step 3: Cross multiply
    2,346,523x = 5,651,042 × 5,651,042
  4. Step 4: Simplify right side
    2,346,523x = 31,934,275,685,764
  5. Step 5: Solve for x
    x = 31,934,275,685,764/2,346,523
  6. Step 6: Final answer
    x = 13,609,189.29

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.