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Finding the Third Proportional to 1,468,948.50 and 3,235,806.56

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Solution

The third proportional to 1,468,948.50 and 3,235,806.56 is: 7,127,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,948.50 : 3,235,806.56 = 3,235,806.56 : x
  2. Step 2: Convert to fraction form
    1,468,948.50/3,235,806.56 = 3,235,806.56/x
  3. Step 3: Cross multiply
    1,468,948.50x = 3,235,806.56 × 3,235,806.56
  4. Step 4: Simplify right side
    1,468,948.50x = 10,470,444,109,918.07
  5. Step 5: Solve for x
    x = 10,470,444,109,918.07/1,468,948.50
  6. Step 6: Final answer
    x = 7,127,849.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.