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Finding the Third Proportional to 1,272,965 and 2,745,221

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Solution

The third proportional to 1,272,965 and 2,745,221 is: 5,920,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,965 : 2,745,221 = 2,745,221 : x
  2. Step 2: Convert to fraction form
    1,272,965/2,745,221 = 2,745,221/x
  3. Step 3: Cross multiply
    1,272,965x = 2,745,221 × 2,745,221
  4. Step 4: Simplify right side
    1,272,965x = 7,536,238,338,841
  5. Step 5: Solve for x
    x = 7,536,238,338,841/1,272,965
  6. Step 6: Final answer
    x = 5,920,224.31

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