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Finding the Third Proportional to 1,777,984 and 3,833,968

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Solution

The third proportional to 1,777,984 and 3,833,968 is: 8,267,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777,984 : 3,833,968 = 3,833,968 : x
  2. Step 2: Convert to fraction form
    1,777,984/3,833,968 = 3,833,968/x
  3. Step 3: Cross multiply
    1,777,984x = 3,833,968 × 3,833,968
  4. Step 4: Simplify right side
    1,777,984x = 14,699,310,625,024
  5. Step 5: Solve for x
    x = 14,699,310,625,024/1,777,984
  6. Step 6: Final answer
    x = 8,267,403.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.