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Finding the Third Proportional to 1,096,498.50 and 1,644,747.50

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Solution

The third proportional to 1,096,498.50 and 1,644,747.50 is: 2,467,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,498.50 : 1,644,747.50 = 1,644,747.50 : x
  2. Step 2: Convert to fraction form
    1,096,498.50/1,644,747.50 = 1,644,747.50/x
  3. Step 3: Cross multiply
    1,096,498.50x = 1,644,747.50 × 1,644,747.50
  4. Step 4: Simplify right side
    1,096,498.50x = 2,705,194,338,756.25
  5. Step 5: Solve for x
    x = 2,705,194,338,756.25/1,096,498.50
  6. Step 6: Final answer
    x = 2,467,120.88

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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.