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Finding the Third Proportional to 545,869.13 and 1,274,671.69

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Solution

The third proportional to 545,869.13 and 1,274,671.69 is: 2,976,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,869.13 : 1,274,671.69 = 1,274,671.69 : x
  2. Step 2: Convert to fraction form
    545,869.13/1,274,671.69 = 1,274,671.69/x
  3. Step 3: Cross multiply
    545,869.13x = 1,274,671.69 × 1,274,671.69
  4. Step 4: Simplify right side
    545,869.13x = 1,624,787,910,914.10
  5. Step 5: Solve for x
    x = 1,624,787,910,914.10/545,869.13
  6. Step 6: Final answer
    x = 2,976,515.50

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.