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Finding the Third Proportional to 2,037,376.50 and 2,757,127.50

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Solution

The third proportional to 2,037,376.50 and 2,757,127.50 is: 3,731,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,376.50 : 2,757,127.50 = 2,757,127.50 : x
  2. Step 2: Convert to fraction form
    2,037,376.50/2,757,127.50 = 2,757,127.50/x
  3. Step 3: Cross multiply
    2,037,376.50x = 2,757,127.50 × 2,757,127.50
  4. Step 4: Simplify right side
    2,037,376.50x = 7,601,752,051,256.25
  5. Step 5: Solve for x
    x = 7,601,752,051,256.25/2,037,376.50
  6. Step 6: Final answer
    x = 3,731,147.41

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.