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Finding the Third Proportional to 2,431,414 and 5,628,289

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Solution

The third proportional to 2,431,414 and 5,628,289 is: 13,028,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,414 : 5,628,289 = 5,628,289 : x
  2. Step 2: Convert to fraction form
    2,431,414/5,628,289 = 5,628,289/x
  3. Step 3: Cross multiply
    2,431,414x = 5,628,289 × 5,628,289
  4. Step 4: Simplify right side
    2,431,414x = 31,677,637,067,521
  5. Step 5: Solve for x
    x = 31,677,637,067,521/2,431,414
  6. Step 6: Final answer
    x = 13,028,483.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.