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Finding the Third Proportional to 3,830,912 and 5,713,140

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Solution

The third proportional to 3,830,912 and 5,713,140 is: 8,520,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,912 : 5,713,140 = 5,713,140 : x
  2. Step 2: Convert to fraction form
    3,830,912/5,713,140 = 5,713,140/x
  3. Step 3: Cross multiply
    3,830,912x = 5,713,140 × 5,713,140
  4. Step 4: Simplify right side
    3,830,912x = 32,639,968,659,600
  5. Step 5: Solve for x
    x = 32,639,968,659,600/3,830,912
  6. Step 6: Final answer
    x = 8,520,156.21

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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.