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Finding the Third Proportional to 1,480,128 and 3,184,782

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Solution

The third proportional to 1,480,128 and 3,184,782 is: 6,852,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,128 : 3,184,782 = 3,184,782 : x
  2. Step 2: Convert to fraction form
    1,480,128/3,184,782 = 3,184,782/x
  3. Step 3: Cross multiply
    1,480,128x = 3,184,782 × 3,184,782
  4. Step 4: Simplify right side
    1,480,128x = 10,142,836,387,524
  5. Step 5: Solve for x
    x = 10,142,836,387,524/1,480,128
  6. Step 6: Final answer
    x = 6,852,675.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.