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Finding the Third Proportional to 2,656,996.50 and 3,728,292.75

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Solution

The third proportional to 2,656,996.50 and 3,728,292.75 is: 5,231,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,996.50 : 3,728,292.75 = 3,728,292.75 : x
  2. Step 2: Convert to fraction form
    2,656,996.50/3,728,292.75 = 3,728,292.75/x
  3. Step 3: Cross multiply
    2,656,996.50x = 3,728,292.75 × 3,728,292.75
  4. Step 4: Simplify right side
    2,656,996.50x = 13,900,166,829,702.56
  5. Step 5: Solve for x
    x = 13,900,166,829,702.56/2,656,996.50
  6. Step 6: Final answer
    x = 5,231,533.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.