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Finding the Third Proportional to 1,729,795.50 and 3,715,348.50

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Solution

The third proportional to 1,729,795.50 and 3,715,348.50 is: 7,980,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,795.50 : 3,715,348.50 = 3,715,348.50 : x
  2. Step 2: Convert to fraction form
    1,729,795.50/3,715,348.50 = 3,715,348.50/x
  3. Step 3: Cross multiply
    1,729,795.50x = 3,715,348.50 × 3,715,348.50
  4. Step 4: Simplify right side
    1,729,795.50x = 13,803,814,476,452.25
  5. Step 5: Solve for x
    x = 13,803,814,476,452.25/1,729,795.50
  6. Step 6: Final answer
    x = 7,980,026.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.