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Finding the Third Proportional to 882,464 and 1,904,896

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Solution

The third proportional to 882,464 and 1,904,896 is: 4,111,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,464 : 1,904,896 = 1,904,896 : x
  2. Step 2: Convert to fraction form
    882,464/1,904,896 = 1,904,896/x
  3. Step 3: Cross multiply
    882,464x = 1,904,896 × 1,904,896
  4. Step 4: Simplify right side
    882,464x = 3,628,628,770,816
  5. Step 5: Solve for x
    x = 3,628,628,770,816/882,464
  6. Step 6: Final answer
    x = 4,111,928.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.