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Finding the Third Proportional to 642,265.50 and 1,487,295.75

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Solution

The third proportional to 642,265.50 and 1,487,295.75 is: 3,444,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,265.50 : 1,487,295.75 = 1,487,295.75 : x
  2. Step 2: Convert to fraction form
    642,265.50/1,487,295.75 = 1,487,295.75/x
  3. Step 3: Cross multiply
    642,265.50x = 1,487,295.75 × 1,487,295.75
  4. Step 4: Simplify right side
    642,265.50x = 2,212,048,647,968.06
  5. Step 5: Solve for x
    x = 2,212,048,647,968.06/642,265.50
  6. Step 6: Final answer
    x = 3,444,134.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.