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Finding the Third Proportional to 960,012 and 2,100,816

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Solution

The third proportional to 960,012 and 2,100,816 is: 4,597,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,012 : 2,100,816 = 2,100,816 : x
  2. Step 2: Convert to fraction form
    960,012/2,100,816 = 2,100,816/x
  3. Step 3: Cross multiply
    960,012x = 2,100,816 × 2,100,816
  4. Step 4: Simplify right side
    960,012x = 4,413,427,865,856
  5. Step 5: Solve for x
    x = 4,413,427,865,856/960,012
  6. Step 6: Final answer
    x = 4,597,263.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.