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Finding the Third Proportional to 1,999,774.69 and 4,431,952.69

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Solution

The third proportional to 1,999,774.69 and 4,431,952.69 is: 9,822,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,774.69 : 4,431,952.69 = 4,431,952.69 : x
  2. Step 2: Convert to fraction form
    1,999,774.69/4,431,952.69 = 4,431,952.69/x
  3. Step 3: Cross multiply
    1,999,774.69x = 4,431,952.69 × 4,431,952.69
  4. Step 4: Simplify right side
    1,999,774.69x = 19,642,204,624,238.47
  5. Step 5: Solve for x
    x = 19,642,204,624,238.47/1,999,774.69
  6. Step 6: Final answer
    x = 9,822,208.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.