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Finding the Third Proportional to 747,670.88 and 1,640,092.13

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Solution

The third proportional to 747,670.88 and 1,640,092.13 is: 3,597,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,670.88 : 1,640,092.13 = 1,640,092.13 : x
  2. Step 2: Convert to fraction form
    747,670.88/1,640,092.13 = 1,640,092.13/x
  3. Step 3: Cross multiply
    747,670.88x = 1,640,092.13 × 1,640,092.13
  4. Step 4: Simplify right side
    747,670.88x = 2,689,902,178,487.02
  5. Step 5: Solve for x
    x = 2,689,902,178,487.02/747,670.88
  6. Step 6: Final answer
    x = 3,597,708.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.