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Finding the Third Proportional to 594,128.25 and 1,282,950.56

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Solution

The third proportional to 594,128.25 and 1,282,950.56 is: 2,770,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,128.25 : 1,282,950.56 = 1,282,950.56 : x
  2. Step 2: Convert to fraction form
    594,128.25/1,282,950.56 = 1,282,950.56/x
  3. Step 3: Cross multiply
    594,128.25x = 1,282,950.56 × 1,282,950.56
  4. Step 4: Simplify right side
    594,128.25x = 1,645,962,145,819.07
  5. Step 5: Solve for x
    x = 1,645,962,145,819.07/594,128.25
  6. Step 6: Final answer
    x = 2,770,381.89

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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.