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Finding the Third Proportional to 640,453.50 and 1,386,099

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Solution

The third proportional to 640,453.50 and 1,386,099 is: 2,999,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,453.50 : 1,386,099 = 1,386,099 : x
  2. Step 2: Convert to fraction form
    640,453.50/1,386,099 = 1,386,099/x
  3. Step 3: Cross multiply
    640,453.50x = 1,386,099 × 1,386,099
  4. Step 4: Simplify right side
    640,453.50x = 1,921,270,437,801
  5. Step 5: Solve for x
    x = 1,921,270,437,801/640,453.50
  6. Step 6: Final answer
    x = 2,999,859.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.