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Finding the Third Proportional to 729,151 and 1,141,515

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Solution

The third proportional to 729,151 and 1,141,515 is: 1,787,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,151 : 1,141,515 = 1,141,515 : x
  2. Step 2: Convert to fraction form
    729,151/1,141,515 = 1,141,515/x
  3. Step 3: Cross multiply
    729,151x = 1,141,515 × 1,141,515
  4. Step 4: Simplify right side
    729,151x = 1,303,056,495,225
  5. Step 5: Solve for x
    x = 1,303,056,495,225/729,151
  6. Step 6: Final answer
    x = 1,787,087.30

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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.