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Finding the Third Proportional to 737,493.75 and 1,158,827.06

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Solution

The third proportional to 737,493.75 and 1,158,827.06 is: 1,820,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,493.75 : 1,158,827.06 = 1,158,827.06 : x
  2. Step 2: Convert to fraction form
    737,493.75/1,158,827.06 = 1,158,827.06/x
  3. Step 3: Cross multiply
    737,493.75x = 1,158,827.06 × 1,158,827.06
  4. Step 4: Simplify right side
    737,493.75x = 1,342,880,160,782.38
  5. Step 5: Solve for x
    x = 1,342,880,160,782.38/737,493.75
  6. Step 6: Final answer
    x = 1,820,869.89

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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.