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Finding the Third Proportional to 746,668.50 and 1,755,129

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Solution

The third proportional to 746,668.50 and 1,755,129 is: 4,125,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,668.50 : 1,755,129 = 1,755,129 : x
  2. Step 2: Convert to fraction form
    746,668.50/1,755,129 = 1,755,129/x
  3. Step 3: Cross multiply
    746,668.50x = 1,755,129 × 1,755,129
  4. Step 4: Simplify right side
    746,668.50x = 3,080,477,806,641
  5. Step 5: Solve for x
    x = 3,080,477,806,641/746,668.50
  6. Step 6: Final answer
    x = 4,125,629.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.