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Finding the Third Proportional to 738,909 and 1,588,310

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Solution

The third proportional to 738,909 and 1,588,310 is: 3,414,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,909 : 1,588,310 = 1,588,310 : x
  2. Step 2: Convert to fraction form
    738,909/1,588,310 = 1,588,310/x
  3. Step 3: Cross multiply
    738,909x = 1,588,310 × 1,588,310
  4. Step 4: Simplify right side
    738,909x = 2,522,728,656,100
  5. Step 5: Solve for x
    x = 2,522,728,656,100/738,909
  6. Step 6: Final answer
    x = 3,414,126.31

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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.