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Finding the Third Proportional to 746,670 and 1,755,135

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Solution

The third proportional to 746,670 and 1,755,135 is: 4,125,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,670 : 1,755,135 = 1,755,135 : x
  2. Step 2: Convert to fraction form
    746,670/1,755,135 = 1,755,135/x
  3. Step 3: Cross multiply
    746,670x = 1,755,135 × 1,755,135
  4. Step 4: Simplify right side
    746,670x = 3,080,498,868,225
  5. Step 5: Solve for x
    x = 3,080,498,868,225/746,670
  6. Step 6: Final answer
    x = 4,125,649.71

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