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Finding the Third Proportional to 738,937 and 1,588,380

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Solution

The third proportional to 738,937 and 1,588,380 is: 3,414,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,937 : 1,588,380 = 1,588,380 : x
  2. Step 2: Convert to fraction form
    738,937/1,588,380 = 1,588,380/x
  3. Step 3: Cross multiply
    738,937x = 1,588,380 × 1,588,380
  4. Step 4: Simplify right side
    738,937x = 2,522,951,024,400
  5. Step 5: Solve for x
    x = 2,522,951,024,400/738,937
  6. Step 6: Final answer
    x = 3,414,297.87

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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.