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Finding the Third Proportional to 775,467 and 1,136,166.75

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Solution

The third proportional to 775,467 and 1,136,166.75 is: 1,664,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,467 : 1,136,166.75 = 1,136,166.75 : x
  2. Step 2: Convert to fraction form
    775,467/1,136,166.75 = 1,136,166.75/x
  3. Step 3: Cross multiply
    775,467x = 1,136,166.75 × 1,136,166.75
  4. Step 4: Simplify right side
    775,467x = 1,290,874,883,805.56
  5. Step 5: Solve for x
    x = 1,290,874,883,805.56/775,467
  6. Step 6: Final answer
    x = 1,664,641.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.