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Finding the Third Proportional to 738,924 and 1,588,356

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Solution

The third proportional to 738,924 and 1,588,356 is: 3,414,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,924 : 1,588,356 = 1,588,356 : x
  2. Step 2: Convert to fraction form
    738,924/1,588,356 = 1,588,356/x
  3. Step 3: Cross multiply
    738,924x = 1,588,356 × 1,588,356
  4. Step 4: Simplify right side
    738,924x = 2,522,874,782,736
  5. Step 5: Solve for x
    x = 2,522,874,782,736/738,924
  6. Step 6: Final answer
    x = 3,414,254.76

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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.