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Finding the Third Proportional to 738,117 and 1,614,096

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Solution

The third proportional to 738,117 and 1,614,096 is: 3,529,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,117 : 1,614,096 = 1,614,096 : x
  2. Step 2: Convert to fraction form
    738,117/1,614,096 = 1,614,096/x
  3. Step 3: Cross multiply
    738,117x = 1,614,096 × 1,614,096
  4. Step 4: Simplify right side
    738,117x = 2,605,305,897,216
  5. Step 5: Solve for x
    x = 2,605,305,897,216/738,117
  6. Step 6: Final answer
    x = 3,529,665.21

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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.