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Finding the Third Proportional to 746,150 and 1,598,764

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Solution

The third proportional to 746,150 and 1,598,764 is: 3,425,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,150 : 1,598,764 = 1,598,764 : x
  2. Step 2: Convert to fraction form
    746,150/1,598,764 = 1,598,764/x
  3. Step 3: Cross multiply
    746,150x = 1,598,764 × 1,598,764
  4. Step 4: Simplify right side
    746,150x = 2,556,046,327,696
  5. Step 5: Solve for x
    x = 2,556,046,327,696/746,150
  6. Step 6: Final answer
    x = 3,425,646.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.