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Finding the Third Proportional to 2,507,238 and 5,413,464

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Solution

The third proportional to 2,507,238 and 5,413,464 is: 11,688,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507,238 : 5,413,464 = 5,413,464 : x
  2. Step 2: Convert to fraction form
    2,507,238/5,413,464 = 5,413,464/x
  3. Step 3: Cross multiply
    2,507,238x = 5,413,464 × 5,413,464
  4. Step 4: Simplify right side
    2,507,238x = 29,305,592,479,296
  5. Step 5: Solve for x
    x = 29,305,592,479,296/2,507,238
  6. Step 6: Final answer
    x = 11,688,396.75

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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.