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Finding the Third Proportional to 758,640 and 1,756,296

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Solution

The third proportional to 758,640 and 1,756,296 is: 4,065,928.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,640 : 1,756,296 = 1,756,296 : x
  2. Step 2: Convert to fraction form
    758,640/1,756,296 = 1,756,296/x
  3. Step 3: Cross multiply
    758,640x = 1,756,296 × 1,756,296
  4. Step 4: Simplify right side
    758,640x = 3,084,575,639,616
  5. Step 5: Solve for x
    x = 3,084,575,639,616/758,640
  6. Step 6: Final answer
    x = 4,065,928.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.