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Finding the Third Proportional to 640,810.50 and 1,512,693.47

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Solution

The third proportional to 640,810.50 and 1,512,693.47 is: 3,570,855.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,810.50 : 1,512,693.47 = 1,512,693.47 : x
  2. Step 2: Convert to fraction form
    640,810.50/1,512,693.47 = 1,512,693.47/x
  3. Step 3: Cross multiply
    640,810.50x = 1,512,693.47 × 1,512,693.47
  4. Step 4: Simplify right side
    640,810.50x = 2,288,241,530,398.91
  5. Step 5: Solve for x
    x = 2,288,241,530,398.91/640,810.50
  6. Step 6: Final answer
    x = 3,570,855.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.