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Finding the Third Proportional to 729,310 and 1,104,027

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Solution

The third proportional to 729,310 and 1,104,027 is: 1,671,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,310 : 1,104,027 = 1,104,027 : x
  2. Step 2: Convert to fraction form
    729,310/1,104,027 = 1,104,027/x
  3. Step 3: Cross multiply
    729,310x = 1,104,027 × 1,104,027
  4. Step 4: Simplify right side
    729,310x = 1,218,875,616,729
  5. Step 5: Solve for x
    x = 1,218,875,616,729/729,310
  6. Step 6: Final answer
    x = 1,671,272.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.