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Finding the Third Proportional to 734,480 and 1,576,096

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Solution

The third proportional to 734,480 and 1,576,096 is: 3,382,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,480 : 1,576,096 = 1,576,096 : x
  2. Step 2: Convert to fraction form
    734,480/1,576,096 = 1,576,096/x
  3. Step 3: Cross multiply
    734,480x = 1,576,096 × 1,576,096
  4. Step 4: Simplify right side
    734,480x = 2,484,078,601,216
  5. Step 5: Solve for x
    x = 2,484,078,601,216/734,480
  6. Step 6: Final answer
    x = 3,382,091.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.