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Finding the Third Proportional to 1,294,168.50 and 2,754,307

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Solution

The third proportional to 1,294,168.50 and 2,754,307 is: 5,861,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,168.50 : 2,754,307 = 2,754,307 : x
  2. Step 2: Convert to fraction form
    1,294,168.50/2,754,307 = 2,754,307/x
  3. Step 3: Cross multiply
    1,294,168.50x = 2,754,307 × 2,754,307
  4. Step 4: Simplify right side
    1,294,168.50x = 7,586,207,050,249
  5. Step 5: Solve for x
    x = 7,586,207,050,249/1,294,168.50
  6. Step 6: Final answer
    x = 5,861,838.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.