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Finding the Third Proportional to 640,184 and 1,398,484

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Solution

The third proportional to 640,184 and 1,398,484 is: 3,054,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,184 : 1,398,484 = 1,398,484 : x
  2. Step 2: Convert to fraction form
    640,184/1,398,484 = 1,398,484/x
  3. Step 3: Cross multiply
    640,184x = 1,398,484 × 1,398,484
  4. Step 4: Simplify right side
    640,184x = 1,955,757,498,256
  5. Step 5: Solve for x
    x = 1,955,757,498,256/640,184
  6. Step 6: Final answer
    x = 3,054,992.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.