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Finding the Third Proportional to 2,097,204 and 4,586,904

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Solution

The third proportional to 2,097,204 and 4,586,904 is: 10,032,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,204 : 4,586,904 = 4,586,904 : x
  2. Step 2: Convert to fraction form
    2,097,204/4,586,904 = 4,586,904/x
  3. Step 3: Cross multiply
    2,097,204x = 4,586,904 × 4,586,904
  4. Step 4: Simplify right side
    2,097,204x = 21,039,688,305,216
  5. Step 5: Solve for x
    x = 21,039,688,305,216/2,097,204
  6. Step 6: Final answer
    x = 10,032,256.43

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