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Finding the Third Proportional to 1,022,859 and 1,534,284

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Solution

The third proportional to 1,022,859 and 1,534,284 is: 2,301,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,859 : 1,534,284 = 1,534,284 : x
  2. Step 2: Convert to fraction form
    1,022,859/1,534,284 = 1,534,284/x
  3. Step 3: Cross multiply
    1,022,859x = 1,534,284 × 1,534,284
  4. Step 4: Simplify right side
    1,022,859x = 2,354,027,392,656
  5. Step 5: Solve for x
    x = 2,354,027,392,656/1,022,859
  6. Step 6: Final answer
    x = 2,301,419.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.