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Finding the Third Proportional to 1,211,355 and 1,645,836

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Solution

The third proportional to 1,211,355 and 1,645,836 is: 2,236,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,355 : 1,645,836 = 1,645,836 : x
  2. Step 2: Convert to fraction form
    1,211,355/1,645,836 = 1,645,836/x
  3. Step 3: Cross multiply
    1,211,355x = 1,645,836 × 1,645,836
  4. Step 4: Simplify right side
    1,211,355x = 2,708,776,138,896
  5. Step 5: Solve for x
    x = 2,708,776,138,896/1,211,355
  6. Step 6: Final answer
    x = 2,236,153.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.