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Finding the Third Proportional to 843,817.50 and 1,265,817.38

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Solution

The third proportional to 843,817.50 and 1,265,817.38 is: 1,898,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,817.50 : 1,265,817.38 = 1,265,817.38 : x
  2. Step 2: Convert to fraction form
    843,817.50/1,265,817.38 = 1,265,817.38/x
  3. Step 3: Cross multiply
    843,817.50x = 1,265,817.38 × 1,265,817.38
  4. Step 4: Simplify right side
    843,817.50x = 1,602,293,626,851.89
  5. Step 5: Solve for x
    x = 1,602,293,626,851.89/843,817.50
  6. Step 6: Final answer
    x = 1,898,862.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.