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Finding the Third Proportional to 1,625,120 and 3,761,640

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Solution

The third proportional to 1,625,120 and 3,761,640 is: 8,707,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625,120 : 3,761,640 = 3,761,640 : x
  2. Step 2: Convert to fraction form
    1,625,120/3,761,640 = 3,761,640/x
  3. Step 3: Cross multiply
    1,625,120x = 3,761,640 × 3,761,640
  4. Step 4: Simplify right side
    1,625,120x = 14,149,935,489,600
  5. Step 5: Solve for x
    x = 14,149,935,489,600/1,625,120
  6. Step 6: Final answer
    x = 8,707,009.63

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.