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Finding the Third Proportional to 1,161,435 and 2,429,322

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Solution

The third proportional to 1,161,435 and 2,429,322 is: 5,081,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,435 : 2,429,322 = 2,429,322 : x
  2. Step 2: Convert to fraction form
    1,161,435/2,429,322 = 2,429,322/x
  3. Step 3: Cross multiply
    1,161,435x = 2,429,322 × 2,429,322
  4. Step 4: Simplify right side
    1,161,435x = 5,901,605,379,684
  5. Step 5: Solve for x
    x = 5,901,605,379,684/1,161,435
  6. Step 6: Final answer
    x = 5,081,304.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.