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Finding the Third Proportional to 1,145,238 and 2,587,407

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Solution

The third proportional to 1,145,238 and 2,587,407 is: 5,845,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,238 : 2,587,407 = 2,587,407 : x
  2. Step 2: Convert to fraction form
    1,145,238/2,587,407 = 2,587,407/x
  3. Step 3: Cross multiply
    1,145,238x = 2,587,407 × 2,587,407
  4. Step 4: Simplify right side
    1,145,238x = 6,694,674,983,649
  5. Step 5: Solve for x
    x = 6,694,674,983,649/1,145,238
  6. Step 6: Final answer
    x = 5,845,662.63

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.