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Finding the Third Proportional to 3,830,847 and 5,713,047

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Solution

The third proportional to 3,830,847 and 5,713,047 is: 8,520,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,847 : 5,713,047 = 5,713,047 : x
  2. Step 2: Convert to fraction form
    3,830,847/5,713,047 = 5,713,047/x
  3. Step 3: Cross multiply
    3,830,847x = 5,713,047 × 5,713,047
  4. Step 4: Simplify right side
    3,830,847x = 32,638,906,024,209
  5. Step 5: Solve for x
    x = 32,638,906,024,209/3,830,847
  6. Step 6: Final answer
    x = 8,520,023.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.