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Finding the Third Proportional to 3,830,830 and 5,713,026

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Solution

The third proportional to 3,830,830 and 5,713,026 is: 8,519,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,830 : 5,713,026 = 5,713,026 : x
  2. Step 2: Convert to fraction form
    3,830,830/5,713,026 = 5,713,026/x
  3. Step 3: Cross multiply
    3,830,830x = 5,713,026 × 5,713,026
  4. Step 4: Simplify right side
    3,830,830x = 32,638,666,076,676
  5. Step 5: Solve for x
    x = 32,638,666,076,676/3,830,830
  6. Step 6: Final answer
    x = 8,519,998.56

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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.