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Finding the Third Proportional to 738,504 and 1,579,356

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Solution

The third proportional to 738,504 and 1,579,356 is: 3,377,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,504 : 1,579,356 = 1,579,356 : x
  2. Step 2: Convert to fraction form
    738,504/1,579,356 = 1,579,356/x
  3. Step 3: Cross multiply
    738,504x = 1,579,356 × 1,579,356
  4. Step 4: Simplify right side
    738,504x = 2,494,365,374,736
  5. Step 5: Solve for x
    x = 2,494,365,374,736/738,504
  6. Step 6: Final answer
    x = 3,377,592.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.