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Finding the Third Proportional to 1,295,106 and 1,960,722

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Solution

The third proportional to 1,295,106 and 1,960,722 is: 2,968,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,106 : 1,960,722 = 1,960,722 : x
  2. Step 2: Convert to fraction form
    1,295,106/1,960,722 = 1,960,722/x
  3. Step 3: Cross multiply
    1,295,106x = 1,960,722 × 1,960,722
  4. Step 4: Simplify right side
    1,295,106x = 3,844,430,761,284
  5. Step 5: Solve for x
    x = 3,844,430,761,284/1,295,106
  6. Step 6: Final answer
    x = 2,968,429.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.