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Finding the Third Proportional to 737,164 and 1,576,795

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Solution

The third proportional to 737,164 and 1,576,795 is: 3,372,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,164 : 1,576,795 = 1,576,795 : x
  2. Step 2: Convert to fraction form
    737,164/1,576,795 = 1,576,795/x
  3. Step 3: Cross multiply
    737,164x = 1,576,795 × 1,576,795
  4. Step 4: Simplify right side
    737,164x = 2,486,282,472,025
  5. Step 5: Solve for x
    x = 2,486,282,472,025/737,164
  6. Step 6: Final answer
    x = 3,372,767.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.