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Finding the Third Proportional to 2,104,176 and 4,602,096

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Solution

The third proportional to 2,104,176 and 4,602,096 is: 10,065,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104,176 : 4,602,096 = 4,602,096 : x
  2. Step 2: Convert to fraction form
    2,104,176/4,602,096 = 4,602,096/x
  3. Step 3: Cross multiply
    2,104,176x = 4,602,096 × 4,602,096
  4. Step 4: Simplify right side
    2,104,176x = 21,179,287,593,216
  5. Step 5: Solve for x
    x = 21,179,287,593,216/2,104,176
  6. Step 6: Final answer
    x = 10,065,359.36

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Why These Related Problems?

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