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Finding the Third Proportional to 1,501,742 and 3,202,825

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Solution

The third proportional to 1,501,742 and 3,202,825 is: 6,830,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501,742 : 3,202,825 = 3,202,825 : x
  2. Step 2: Convert to fraction form
    1,501,742/3,202,825 = 3,202,825/x
  3. Step 3: Cross multiply
    1,501,742x = 3,202,825 × 3,202,825
  4. Step 4: Simplify right side
    1,501,742x = 10,258,087,980,625
  5. Step 5: Solve for x
    x = 10,258,087,980,625/1,501,742
  6. Step 6: Final answer
    x = 6,830,792.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.