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Finding the Third Proportional to 597,590 and 1,290,256

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Solution

The third proportional to 597,590 and 1,290,256 is: 2,785,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,590 : 1,290,256 = 1,290,256 : x
  2. Step 2: Convert to fraction form
    597,590/1,290,256 = 1,290,256/x
  3. Step 3: Cross multiply
    597,590x = 1,290,256 × 1,290,256
  4. Step 4: Simplify right side
    597,590x = 1,664,760,545,536
  5. Step 5: Solve for x
    x = 1,664,760,545,536/597,590
  6. Step 6: Final answer
    x = 2,785,790.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.