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Finding the Third Proportional to 739,450 and 1,590,984

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Solution

The third proportional to 739,450 and 1,590,984 is: 3,423,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,450 : 1,590,984 = 1,590,984 : x
  2. Step 2: Convert to fraction form
    739,450/1,590,984 = 1,590,984/x
  3. Step 3: Cross multiply
    739,450x = 1,590,984 × 1,590,984
  4. Step 4: Simplify right side
    739,450x = 2,531,230,088,256
  5. Step 5: Solve for x
    x = 2,531,230,088,256/739,450
  6. Step 6: Final answer
    x = 3,423,125.42

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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.