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Finding the Third Proportional to 1,138,580 and 2,464,168

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Solution

The third proportional to 1,138,580 and 2,464,168 is: 5,333,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,580 : 2,464,168 = 2,464,168 : x
  2. Step 2: Convert to fraction form
    1,138,580/2,464,168 = 2,464,168/x
  3. Step 3: Cross multiply
    1,138,580x = 2,464,168 × 2,464,168
  4. Step 4: Simplify right side
    1,138,580x = 6,072,123,932,224
  5. Step 5: Solve for x
    x = 6,072,123,932,224/1,138,580
  6. Step 6: Final answer
    x = 5,333,067.45

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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.