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Finding the Third Proportional to 1,096,499.25 and 1,644,748.50

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Solution

The third proportional to 1,096,499.25 and 1,644,748.50 is: 2,467,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,499.25 : 1,644,748.50 = 1,644,748.50 : x
  2. Step 2: Convert to fraction form
    1,096,499.25/1,644,748.50 = 1,644,748.50/x
  3. Step 3: Cross multiply
    1,096,499.25x = 1,644,748.50 × 1,644,748.50
  4. Step 4: Simplify right side
    1,096,499.25x = 2,705,197,628,252.25
  5. Step 5: Solve for x
    x = 2,705,197,628,252.25/1,096,499.25
  6. Step 6: Final answer
    x = 2,467,122.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.