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Finding the Third Proportional to 1,295,100 and 1,960,713

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Solution

The third proportional to 1,295,100 and 1,960,713 is: 2,968,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,100 : 1,960,713 = 1,960,713 : x
  2. Step 2: Convert to fraction form
    1,295,100/1,960,713 = 1,960,713/x
  3. Step 3: Cross multiply
    1,295,100x = 1,960,713 × 1,960,713
  4. Step 4: Simplify right side
    1,295,100x = 3,844,395,468,369
  5. Step 5: Solve for x
    x = 3,844,395,468,369/1,295,100
  6. Step 6: Final answer
    x = 2,968,415.93

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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.