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Finding the Third Proportional to 2,457,381 and 3,846,592.50

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Solution

The third proportional to 2,457,381 and 3,846,592.50 is: 6,021,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,381 : 3,846,592.50 = 3,846,592.50 : x
  2. Step 2: Convert to fraction form
    2,457,381/3,846,592.50 = 3,846,592.50/x
  3. Step 3: Cross multiply
    2,457,381x = 3,846,592.50 × 3,846,592.50
  4. Step 4: Simplify right side
    2,457,381x = 14,796,273,861,056.25
  5. Step 5: Solve for x
    x = 14,796,273,861,056.25/2,457,381
  6. Step 6: Final answer
    x = 6,021,155.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.