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Finding the Third Proportional to 767,692 and 1,623,968

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Solution

The third proportional to 767,692 and 1,623,968 is: 3,435,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,692 : 1,623,968 = 1,623,968 : x
  2. Step 2: Convert to fraction form
    767,692/1,623,968 = 1,623,968/x
  3. Step 3: Cross multiply
    767,692x = 1,623,968 × 1,623,968
  4. Step 4: Simplify right side
    767,692x = 2,637,272,065,024
  5. Step 5: Solve for x
    x = 2,637,272,065,024/767,692
  6. Step 6: Final answer
    x = 3,435,325.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.