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Finding the Third Proportional to 765,360 and 1,675,734

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Solution

The third proportional to 765,360 and 1,675,734 is: 3,668,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,360 : 1,675,734 = 1,675,734 : x
  2. Step 2: Convert to fraction form
    765,360/1,675,734 = 1,675,734/x
  3. Step 3: Cross multiply
    765,360x = 1,675,734 × 1,675,734
  4. Step 4: Simplify right side
    765,360x = 2,808,084,438,756
  5. Step 5: Solve for x
    x = 2,808,084,438,756/765,360
  6. Step 6: Final answer
    x = 3,668,972.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.