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Finding the Third Proportional to 729,128 and 1,141,480

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Solution

The third proportional to 729,128 and 1,141,480 is: 1,787,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,128 : 1,141,480 = 1,141,480 : x
  2. Step 2: Convert to fraction form
    729,128/1,141,480 = 1,141,480/x
  3. Step 3: Cross multiply
    729,128x = 1,141,480 × 1,141,480
  4. Step 4: Simplify right side
    729,128x = 1,302,976,590,400
  5. Step 5: Solve for x
    x = 1,302,976,590,400/729,128
  6. Step 6: Final answer
    x = 1,787,034.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.