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Finding the Third Proportional to 758,955.50 and 1,644,024.50

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Solution

The third proportional to 758,955.50 and 1,644,024.50 is: 3,561,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,955.50 : 1,644,024.50 = 1,644,024.50 : x
  2. Step 2: Convert to fraction form
    758,955.50/1,644,024.50 = 1,644,024.50/x
  3. Step 3: Cross multiply
    758,955.50x = 1,644,024.50 × 1,644,024.50
  4. Step 4: Simplify right side
    758,955.50x = 2,702,816,556,600.25
  5. Step 5: Solve for x
    x = 2,702,816,556,600.25/758,955.50
  6. Step 6: Final answer
    x = 3,561,231.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.