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Finding the Third Proportional to 864,614.75 and 1,299,706.50

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Solution

The third proportional to 864,614.75 and 1,299,706.50 is: 1,953,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,614.75 : 1,299,706.50 = 1,299,706.50 : x
  2. Step 2: Convert to fraction form
    864,614.75/1,299,706.50 = 1,299,706.50/x
  3. Step 3: Cross multiply
    864,614.75x = 1,299,706.50 × 1,299,706.50
  4. Step 4: Simplify right side
    864,614.75x = 1,689,236,986,142.25
  5. Step 5: Solve for x
    x = 1,689,236,986,142.25/864,614.75
  6. Step 6: Final answer
    x = 1,953,745.28

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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.