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Finding the Third Proportional to 767,240 and 1,686,760

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Solution

The third proportional to 767,240 and 1,686,760 is: 3,708,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,240 : 1,686,760 = 1,686,760 : x
  2. Step 2: Convert to fraction form
    767,240/1,686,760 = 1,686,760/x
  3. Step 3: Cross multiply
    767,240x = 1,686,760 × 1,686,760
  4. Step 4: Simplify right side
    767,240x = 2,845,159,297,600
  5. Step 5: Solve for x
    x = 2,845,159,297,600/767,240
  6. Step 6: Final answer
    x = 3,708,304.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.